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Finding the Fourth Proportional to 5,159.88, 7,740.48 and 1,874.52

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Solution

The fourth proportional to 5,159.88, 7,740.48 and 1,874.52 is: 2,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.88 : 7,740.48 = 1,874.52 : x
  2. Step 2: Convert to fraction form
    5,159.88/7,740.48 = 1,874.52/x
  3. Step 3: Cross multiply
    5,159.88x = 7,740.48 × 1,874.52
  4. Step 4: Simplify right side
    5,159.88x = 14,509,684.57
  5. Step 5: Solve for x
    x = 14,509,684.57/5,159.88
  6. Step 6: Final answer
    x = 2,812.02

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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.