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Finding the Fourth Proportional to 3,125.90, 4,689.12 and 934.58

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Solution

The fourth proportional to 3,125.90, 4,689.12 and 934.58 is: 1,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.90 : 4,689.12 = 934.58 : x
  2. Step 2: Convert to fraction form
    3,125.90/4,689.12 = 934.58/x
  3. Step 3: Cross multiply
    3,125.90x = 4,689.12 × 934.58
  4. Step 4: Simplify right side
    3,125.90x = 4,382,357.77
  5. Step 5: Solve for x
    x = 4,382,357.77/3,125.90
  6. Step 6: Final answer
    x = 1,401.95

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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.