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Finding the Fourth Proportional to 5,870.72, 8,103.36 and 4,007.68

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Solution

The fourth proportional to 5,870.72, 8,103.36 and 4,007.68 is: 5,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.72 : 8,103.36 = 4,007.68 : x
  2. Step 2: Convert to fraction form
    5,870.72/8,103.36 = 4,007.68/x
  3. Step 3: Cross multiply
    5,870.72x = 8,103.36 × 4,007.68
  4. Step 4: Simplify right side
    5,870.72x = 32,475,673.80
  5. Step 5: Solve for x
    x = 32,475,673.80/5,870.72
  6. Step 6: Final answer
    x = 5,531.80

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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.