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Finding the Fourth Proportional to 5,001.77, 7,502.65 and 1,539.02

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Solution

The fourth proportional to 5,001.77, 7,502.65 and 1,539.02 is: 2,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.77 : 7,502.65 = 1,539.02 : x
  2. Step 2: Convert to fraction form
    5,001.77/7,502.65 = 1,539.02/x
  3. Step 3: Cross multiply
    5,001.77x = 7,502.65 × 1,539.02
  4. Step 4: Simplify right side
    5,001.77x = 11,546,728.40
  5. Step 5: Solve for x
    x = 11,546,728.40/5,001.77
  6. Step 6: Final answer
    x = 2,308.53

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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.