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Finding the Fourth Proportional to 5,702,465.08, 7,869,416.22 and 3,124,196.92

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Solution

The fourth proportional to 5,702,465.08, 7,869,416.22 and 3,124,196.92 is: 4,311,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,465.08 : 7,869,416.22 = 3,124,196.92 : x
  2. Step 2: Convert to fraction form
    5,702,465.08/7,869,416.22 = 3,124,196.92/x
  3. Step 3: Cross multiply
    5,702,465.08x = 7,869,416.22 × 3,124,196.92
  4. Step 4: Simplify right side
    5,702,465.08x = 24,585,605,916,722.04
  5. Step 5: Solve for x
    x = 24,585,605,916,722.04/5,702,465.08
  6. Step 6: Final answer
    x = 4,311,399.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.