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Finding the Fourth Proportional to 5,920.27, 8,880.20 and 1,537.76

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Solution

The fourth proportional to 5,920.27, 8,880.20 and 1,537.76 is: 2,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.27 : 8,880.20 = 1,537.76 : x
  2. Step 2: Convert to fraction form
    5,920.27/8,880.20 = 1,537.76/x
  3. Step 3: Cross multiply
    5,920.27x = 8,880.20 × 1,537.76
  4. Step 4: Simplify right side
    5,920.27x = 13,655,636.63
  5. Step 5: Solve for x
    x = 13,655,636.63/5,920.27
  6. Step 6: Final answer
    x = 2,306.59

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