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Finding the Fourth Proportional to 5,358.47, 8,038.17 and 1,849.14

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Solution

The fourth proportional to 5,358.47, 8,038.17 and 1,849.14 is: 2,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.47 : 8,038.17 = 1,849.14 : x
  2. Step 2: Convert to fraction form
    5,358.47/8,038.17 = 1,849.14/x
  3. Step 3: Cross multiply
    5,358.47x = 8,038.17 × 1,849.14
  4. Step 4: Simplify right side
    5,358.47x = 14,863,701.67
  5. Step 5: Solve for x
    x = 14,863,701.67/5,358.47
  6. Step 6: Final answer
    x = 2,773.87

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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.