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Finding the Fourth Proportional to 5,402.92, 7,456.98 and 5,156.68

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Solution

The fourth proportional to 5,402.92, 7,456.98 and 5,156.68 is: 7,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.92 : 7,456.98 = 5,156.68 : x
  2. Step 2: Convert to fraction form
    5,402.92/7,456.98 = 5,156.68/x
  3. Step 3: Cross multiply
    5,402.92x = 7,456.98 × 5,156.68
  4. Step 4: Simplify right side
    5,402.92x = 38,453,259.63
  5. Step 5: Solve for x
    x = 38,453,259.63/5,402.92
  6. Step 6: Final answer
    x = 7,117.13

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1.5x scale

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.