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Finding the Fourth Proportional to 4,714.14, 6,501 and 3,593.10

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Solution

The fourth proportional to 4,714.14, 6,501 and 3,593.10 is: 4,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.14 : 6,501 = 3,593.10 : x
  2. Step 2: Convert to fraction form
    4,714.14/6,501 = 3,593.10/x
  3. Step 3: Cross multiply
    4,714.14x = 6,501 × 3,593.10
  4. Step 4: Simplify right side
    4,714.14x = 23,358,743.10
  5. Step 5: Solve for x
    x = 23,358,743.10/4,714.14
  6. Step 6: Final answer
    x = 4,955.04

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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.