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Finding the Fourth Proportional to 5,385.40, 8,032.77 and 5,221.40

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Solution

The fourth proportional to 5,385.40, 8,032.77 and 5,221.40 is: 7,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.40 : 8,032.77 = 5,221.40 : x
  2. Step 2: Convert to fraction form
    5,385.40/8,032.77 = 5,221.40/x
  3. Step 3: Cross multiply
    5,385.40x = 8,032.77 × 5,221.40
  4. Step 4: Simplify right side
    5,385.40x = 41,942,305.28
  5. Step 5: Solve for x
    x = 41,942,305.28/5,385.40
  6. Step 6: Final answer
    x = 7,788.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.