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Finding the Fourth Proportional to 5,248.59, 7,874.00 and 1,738.40

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Solution

The fourth proportional to 5,248.59, 7,874.00 and 1,738.40 is: 2,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.59 : 7,874.00 = 1,738.40 : x
  2. Step 2: Convert to fraction form
    5,248.59/7,874.00 = 1,738.40/x
  3. Step 3: Cross multiply
    5,248.59x = 7,874.00 × 1,738.40
  4. Step 4: Simplify right side
    5,248.59x = 13,688,150.83
  5. Step 5: Solve for x
    x = 13,688,150.83/5,248.59
  6. Step 6: Final answer
    x = 2,607.97

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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.