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Finding the Fourth Proportional to 3,003.52, 4,502.16 and 1,539.40

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Solution

The fourth proportional to 3,003.52, 4,502.16 and 1,539.40 is: 2,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.52 : 4,502.16 = 1,539.40 : x
  2. Step 2: Convert to fraction form
    3,003.52/4,502.16 = 1,539.40/x
  3. Step 3: Cross multiply
    3,003.52x = 4,502.16 × 1,539.40
  4. Step 4: Simplify right side
    3,003.52x = 6,930,625.10
  5. Step 5: Solve for x
    x = 6,930,625.10/3,003.52
  6. Step 6: Final answer
    x = 2,307.50

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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.