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Finding the Fourth Proportional to 5,849.66, 8,773.20 and 1,688.76

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Solution

The fourth proportional to 5,849.66, 8,773.20 and 1,688.76 is: 2,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.66 : 8,773.20 = 1,688.76 : x
  2. Step 2: Convert to fraction form
    5,849.66/8,773.20 = 1,688.76/x
  3. Step 3: Cross multiply
    5,849.66x = 8,773.20 × 1,688.76
  4. Step 4: Simplify right side
    5,849.66x = 14,815,829.23
  5. Step 5: Solve for x
    x = 14,815,829.23/5,849.66
  6. Step 6: Final answer
    x = 2,532.77

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Why These Related Problems?

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