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Finding the Fourth Proportional to 5,159.74, 7,740.68 and 2,347.24

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Solution

The fourth proportional to 5,159.74, 7,740.68 and 2,347.24 is: 3,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.74 : 7,740.68 = 2,347.24 : x
  2. Step 2: Convert to fraction form
    5,159.74/7,740.68 = 2,347.24/x
  3. Step 3: Cross multiply
    5,159.74x = 7,740.68 × 2,347.24
  4. Step 4: Simplify right side
    5,159.74x = 18,169,220.24
  5. Step 5: Solve for x
    x = 18,169,220.24/5,159.74
  6. Step 6: Final answer
    x = 3,521.35

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1.5x scale

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.