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Finding the Fourth Proportional to 5,159.70, 7,739.55 and 2,562.30

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Solution

The fourth proportional to 5,159.70, 7,739.55 and 2,562.30 is: 3,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.70 : 7,739.55 = 2,562.30 : x
  2. Step 2: Convert to fraction form
    5,159.70/7,739.55 = 2,562.30/x
  3. Step 3: Cross multiply
    5,159.70x = 7,739.55 × 2,562.30
  4. Step 4: Simplify right side
    5,159.70x = 19,831,048.97
  5. Step 5: Solve for x
    x = 19,831,048.97/5,159.70
  6. Step 6: Final answer
    x = 3,843.45

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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.