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Finding the Fourth Proportional to 3,934.68, 5,430.18 and 2,362.74

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Solution

The fourth proportional to 3,934.68, 5,430.18 and 2,362.74 is: 3,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.68 : 5,430.18 = 2,362.74 : x
  2. Step 2: Convert to fraction form
    3,934.68/5,430.18 = 2,362.74/x
  3. Step 3: Cross multiply
    3,934.68x = 5,430.18 × 2,362.74
  4. Step 4: Simplify right side
    3,934.68x = 12,830,103.49
  5. Step 5: Solve for x
    x = 12,830,103.49/3,934.68
  6. Step 6: Final answer
    x = 3,260.77

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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.