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Finding the Fourth Proportional to 6,102.56, 8,421.54 and 3,308.06

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Solution

The fourth proportional to 6,102.56, 8,421.54 and 3,308.06 is: 4,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.56 : 8,421.54 = 3,308.06 : x
  2. Step 2: Convert to fraction form
    6,102.56/8,421.54 = 3,308.06/x
  3. Step 3: Cross multiply
    6,102.56x = 8,421.54 × 3,308.06
  4. Step 4: Simplify right side
    6,102.56x = 27,858,959.61
  5. Step 5: Solve for x
    x = 27,858,959.61/6,102.56
  6. Step 6: Final answer
    x = 4,565.13

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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.