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Finding the Fourth Proportional to 3,126.79, 4,690.86 and 935.71

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Solution

The fourth proportional to 3,126.79, 4,690.86 and 935.71 is: 1,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.79 : 4,690.86 = 935.71 : x
  2. Step 2: Convert to fraction form
    3,126.79/4,690.86 = 935.71/x
  3. Step 3: Cross multiply
    3,126.79x = 4,690.86 × 935.71
  4. Step 4: Simplify right side
    3,126.79x = 4,389,284.61
  5. Step 5: Solve for x
    x = 4,389,284.61/3,126.79
  6. Step 6: Final answer
    x = 1,403.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.