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Finding the Fourth Proportional to 4,322.56, 6,477.75 and 2,470.90

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Solution

The fourth proportional to 4,322.56, 6,477.75 and 2,470.90 is: 3,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.56 : 6,477.75 = 2,470.90 : x
  2. Step 2: Convert to fraction form
    4,322.56/6,477.75 = 2,470.90/x
  3. Step 3: Cross multiply
    4,322.56x = 6,477.75 × 2,470.90
  4. Step 4: Simplify right side
    4,322.56x = 16,005,872.48
  5. Step 5: Solve for x
    x = 16,005,872.48/4,322.56
  6. Step 6: Final answer
    x = 3,702.87

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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.