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Finding the Fourth Proportional to 3,126.72, 4,690.08 and 1,046.56

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Solution

The fourth proportional to 3,126.72, 4,690.08 and 1,046.56 is: 1,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.72 : 4,690.08 = 1,046.56 : x
  2. Step 2: Convert to fraction form
    3,126.72/4,690.08 = 1,046.56/x
  3. Step 3: Cross multiply
    3,126.72x = 4,690.08 × 1,046.56
  4. Step 4: Simplify right side
    3,126.72x = 4,908,450.12
  5. Step 5: Solve for x
    x = 4,908,450.12/3,126.72
  6. Step 6: Final answer
    x = 1,569.84

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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.