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Finding the Fourth Proportional to 4,308.52, 6,459.28 and 4,064.08

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Solution

The fourth proportional to 4,308.52, 6,459.28 and 4,064.08 is: 6,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.52 : 6,459.28 = 4,064.08 : x
  2. Step 2: Convert to fraction form
    4,308.52/6,459.28 = 4,064.08/x
  3. Step 3: Cross multiply
    4,308.52x = 6,459.28 × 4,064.08
  4. Step 4: Simplify right side
    4,308.52x = 26,251,030.66
  5. Step 5: Solve for x
    x = 26,251,030.66/4,308.52
  6. Step 6: Final answer
    x = 6,092.82

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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.