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Finding the Fourth Proportional to 4,476.16, 6,714.48 and 2,524

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Solution

The fourth proportional to 4,476.16, 6,714.48 and 2,524 is: 3,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.16 : 6,714.48 = 2,524 : x
  2. Step 2: Convert to fraction form
    4,476.16/6,714.48 = 2,524/x
  3. Step 3: Cross multiply
    4,476.16x = 6,714.48 × 2,524
  4. Step 4: Simplify right side
    4,476.16x = 16,947,347.52
  5. Step 5: Solve for x
    x = 16,947,347.52/4,476.16
  6. Step 6: Final answer
    x = 3,786.14

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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.