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Finding the Fourth Proportional to 7,159.59, 10,738.89 and 2,478.51

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Solution

The fourth proportional to 7,159.59, 10,738.89 and 2,478.51 is: 3,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.59 : 10,738.89 = 2,478.51 : x
  2. Step 2: Convert to fraction form
    7,159.59/10,738.89 = 2,478.51/x
  3. Step 3: Cross multiply
    7,159.59x = 10,738.89 × 2,478.51
  4. Step 4: Simplify right side
    7,159.59x = 26,616,446.25
  5. Step 5: Solve for x
    x = 26,616,446.25/7,159.59
  6. Step 6: Final answer
    x = 3,717.59

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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.