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Finding the Fourth Proportional to 5,062.64, 7,592.74 and 3,419.96

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Solution

The fourth proportional to 5,062.64, 7,592.74 and 3,419.96 is: 5,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.64 : 7,592.74 = 3,419.96 : x
  2. Step 2: Convert to fraction form
    5,062.64/7,592.74 = 3,419.96/x
  3. Step 3: Cross multiply
    5,062.64x = 7,592.74 × 3,419.96
  4. Step 4: Simplify right side
    5,062.64x = 25,966,820.58
  5. Step 5: Solve for x
    x = 25,966,820.58/5,062.64
  6. Step 6: Final answer
    x = 5,129.11

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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.