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Finding the Fourth Proportional to 4,862.70, 7,293.87 and 1,575.70

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Solution

The fourth proportional to 4,862.70, 7,293.87 and 1,575.70 is: 2,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.70 : 7,293.87 = 1,575.70 : x
  2. Step 2: Convert to fraction form
    4,862.70/7,293.87 = 1,575.70/x
  3. Step 3: Cross multiply
    4,862.70x = 7,293.87 × 1,575.70
  4. Step 4: Simplify right side
    4,862.70x = 11,492,978.18
  5. Step 5: Solve for x
    x = 11,492,978.18/4,862.70
  6. Step 6: Final answer
    x = 2,363.50

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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.