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Finding the Fourth Proportional to 5,849.88, 8,772.96 and 1,688.76

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Solution

The fourth proportional to 5,849.88, 8,772.96 and 1,688.76 is: 2,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.88 : 8,772.96 = 1,688.76 : x
  2. Step 2: Convert to fraction form
    5,849.88/8,772.96 = 1,688.76/x
  3. Step 3: Cross multiply
    5,849.88x = 8,772.96 × 1,688.76
  4. Step 4: Simplify right side
    5,849.88x = 14,815,423.93
  5. Step 5: Solve for x
    x = 14,815,423.93/5,849.88
  6. Step 6: Final answer
    x = 2,532.60

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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.