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Finding the Fourth Proportional to 5,925.70, 8,920.68 and 5,409.02

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Solution

The fourth proportional to 5,925.70, 8,920.68 and 5,409.02 is: 8,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.70 : 8,920.68 = 5,409.02 : x
  2. Step 2: Convert to fraction form
    5,925.70/8,920.68 = 5,409.02/x
  3. Step 3: Cross multiply
    5,925.70x = 8,920.68 × 5,409.02
  4. Step 4: Simplify right side
    5,925.70x = 48,252,109.49
  5. Step 5: Solve for x
    x = 48,252,109.49/5,925.70
  6. Step 6: Final answer
    x = 8,142.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.