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Finding the Fourth Proportional to 7,302.08, 10,952.04 and 2,684

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Solution

The fourth proportional to 7,302.08, 10,952.04 and 2,684 is: 4,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.08 : 10,952.04 = 2,684 : x
  2. Step 2: Convert to fraction form
    7,302.08/10,952.04 = 2,684/x
  3. Step 3: Cross multiply
    7,302.08x = 10,952.04 × 2,684
  4. Step 4: Simplify right side
    7,302.08x = 29,395,275.36
  5. Step 5: Solve for x
    x = 29,395,275.36/7,302.08
  6. Step 6: Final answer
    x = 4,025.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.