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Finding the Fourth Proportional to 5,760.48, 8,607.92 and 4,326.38

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Solution

The fourth proportional to 5,760.48, 8,607.92 and 4,326.38 is: 6,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.48 : 8,607.92 = 4,326.38 : x
  2. Step 2: Convert to fraction form
    5,760.48/8,607.92 = 4,326.38/x
  3. Step 3: Cross multiply
    5,760.48x = 8,607.92 × 4,326.38
  4. Step 4: Simplify right side
    5,760.48x = 37,241,068.26
  5. Step 5: Solve for x
    x = 37,241,068.26/5,760.48
  6. Step 6: Final answer
    x = 6,464.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.