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Finding the Fourth Proportional to 6,001.64, 8,281.26 and 3,484.16

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Solution

The fourth proportional to 6,001.64, 8,281.26 and 3,484.16 is: 4,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.64 : 8,281.26 = 3,484.16 : x
  2. Step 2: Convert to fraction form
    6,001.64/8,281.26 = 3,484.16/x
  3. Step 3: Cross multiply
    6,001.64x = 8,281.26 × 3,484.16
  4. Step 4: Simplify right side
    6,001.64x = 28,853,193.44
  5. Step 5: Solve for x
    x = 28,853,193.44/6,001.64
  6. Step 6: Final answer
    x = 4,807.56

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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.