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Finding the Fourth Proportional to 8,671.60, 13,001.64 and 3,739.96

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Solution

The fourth proportional to 8,671.60, 13,001.64 and 3,739.96 is: 5,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.60 : 13,001.64 = 3,739.96 : x
  2. Step 2: Convert to fraction form
    8,671.60/13,001.64 = 3,739.96/x
  3. Step 3: Cross multiply
    8,671.60x = 13,001.64 × 3,739.96
  4. Step 4: Simplify right side
    8,671.60x = 48,625,613.53
  5. Step 5: Solve for x
    x = 48,625,613.53/8,671.60
  6. Step 6: Final answer
    x = 5,607.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.