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Finding the Fourth Proportional to 4,144.27, 6,216.19 and 1,547

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Solution

The fourth proportional to 4,144.27, 6,216.19 and 1,547 is: 2,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.27 : 6,216.19 = 1,547 : x
  2. Step 2: Convert to fraction form
    4,144.27/6,216.19 = 1,547/x
  3. Step 3: Cross multiply
    4,144.27x = 6,216.19 × 1,547
  4. Step 4: Simplify right side
    4,144.27x = 9,616,445.93
  5. Step 5: Solve for x
    x = 9,616,445.93/4,144.27
  6. Step 6: Final answer
    x = 2,320.42

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