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Finding the Fourth Proportional to 4,543.92, 6,274.14 and 3,547.47

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Solution

The fourth proportional to 4,543.92, 6,274.14 and 3,547.47 is: 4,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.92 : 6,274.14 = 3,547.47 : x
  2. Step 2: Convert to fraction form
    4,543.92/6,274.14 = 3,547.47/x
  3. Step 3: Cross multiply
    4,543.92x = 6,274.14 × 3,547.47
  4. Step 4: Simplify right side
    4,543.92x = 22,257,323.43
  5. Step 5: Solve for x
    x = 22,257,323.43/4,543.92
  6. Step 6: Final answer
    x = 4,898.26

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