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Finding the Fourth Proportional to 5,502.96, 7,594.07 and 3,145.10

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Solution

The fourth proportional to 5,502.96, 7,594.07 and 3,145.10 is: 4,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.96 : 7,594.07 = 3,145.10 : x
  2. Step 2: Convert to fraction form
    5,502.96/7,594.07 = 3,145.10/x
  3. Step 3: Cross multiply
    5,502.96x = 7,594.07 × 3,145.10
  4. Step 4: Simplify right side
    5,502.96x = 23,884,055.86
  5. Step 5: Solve for x
    x = 23,884,055.86/5,502.96
  6. Step 6: Final answer
    x = 4,340.22

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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.