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Finding the Fourth Proportional to 3,854.50, 5,320.14 and 2,363.68

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Solution

The fourth proportional to 3,854.50, 5,320.14 and 2,363.68 is: 3,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.50 : 5,320.14 = 2,363.68 : x
  2. Step 2: Convert to fraction form
    3,854.50/5,320.14 = 2,363.68/x
  3. Step 3: Cross multiply
    3,854.50x = 5,320.14 × 2,363.68
  4. Step 4: Simplify right side
    3,854.50x = 12,575,108.52
  5. Step 5: Solve for x
    x = 12,575,108.52/3,854.50
  6. Step 6: Final answer
    x = 3,262.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.