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Finding the Fourth Proportional to 4,562.90, 6,375.10 and 4,562.90

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Solution

The fourth proportional to 4,562.90, 6,375.10 and 4,562.90 is: 6,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.90 : 6,375.10 = 4,562.90 : x
  2. Step 2: Convert to fraction form
    4,562.90/6,375.10 = 4,562.90/x
  3. Step 3: Cross multiply
    4,562.90x = 6,375.10 × 4,562.90
  4. Step 4: Simplify right side
    4,562.90x = 29,088,943.79
  5. Step 5: Solve for x
    x = 29,088,943.79/4,562.90
  6. Step 6: Final answer
    x = 6,375.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.