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Finding the Fourth Proportional to 5,281.54, 7,924.07 and 2,507.88

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Solution

The fourth proportional to 5,281.54, 7,924.07 and 2,507.88 is: 3,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.54 : 7,924.07 = 2,507.88 : x
  2. Step 2: Convert to fraction form
    5,281.54/7,924.07 = 2,507.88/x
  3. Step 3: Cross multiply
    5,281.54x = 7,924.07 × 2,507.88
  4. Step 4: Simplify right side
    5,281.54x = 19,872,616.67
  5. Step 5: Solve for x
    x = 19,872,616.67/5,281.54
  6. Step 6: Final answer
    x = 3,762.66

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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.