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Finding the Fourth Proportional to 6,548.08, 9,029.28 and 4,659.16

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Solution

The fourth proportional to 6,548.08, 9,029.28 and 4,659.16 is: 6,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.08 : 9,029.28 = 4,659.16 : x
  2. Step 2: Convert to fraction form
    6,548.08/9,029.28 = 4,659.16/x
  3. Step 3: Cross multiply
    6,548.08x = 9,029.28 × 4,659.16
  4. Step 4: Simplify right side
    6,548.08x = 42,068,860.20
  5. Step 5: Solve for x
    x = 42,068,860.20/6,548.08
  6. Step 6: Final answer
    x = 6,424.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.