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Finding the Fourth Proportional to 4,308.72, 6,464.16 and 1,710.78

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Solution

The fourth proportional to 4,308.72, 6,464.16 and 1,710.78 is: 2,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.72 : 6,464.16 = 1,710.78 : x
  2. Step 2: Convert to fraction form
    4,308.72/6,464.16 = 1,710.78/x
  3. Step 3: Cross multiply
    4,308.72x = 6,464.16 × 1,710.78
  4. Step 4: Simplify right side
    4,308.72x = 11,058,755.64
  5. Step 5: Solve for x
    x = 11,058,755.64/4,308.72
  6. Step 6: Final answer
    x = 2,566.60

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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.