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Finding the Fourth Proportional to 4,374.65, 6,563.00 and 1,254.71

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Solution

The fourth proportional to 4,374.65, 6,563.00 and 1,254.71 is: 1,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.65 : 6,563.00 = 1,254.71 : x
  2. Step 2: Convert to fraction form
    4,374.65/6,563.00 = 1,254.71/x
  3. Step 3: Cross multiply
    4,374.65x = 6,563.00 × 1,254.71
  4. Step 4: Simplify right side
    4,374.65x = 8,234,622.64
  5. Step 5: Solve for x
    x = 8,234,622.64/4,374.65
  6. Step 6: Final answer
    x = 1,882.35

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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.