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Finding the Fourth Proportional to 3,347.57, 4,618.68 and 1,931.14

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Solution

The fourth proportional to 3,347.57, 4,618.68 and 1,931.14 is: 2,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.57 : 4,618.68 = 1,931.14 : x
  2. Step 2: Convert to fraction form
    3,347.57/4,618.68 = 1,931.14/x
  3. Step 3: Cross multiply
    3,347.57x = 4,618.68 × 1,931.14
  4. Step 4: Simplify right side
    3,347.57x = 8,919,329.81
  5. Step 5: Solve for x
    x = 8,919,329.81/3,347.57
  6. Step 6: Final answer
    x = 2,664.42

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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.