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Finding the Fourth Proportional to 3,366.42, 5,046.57 and 1,417.56

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Solution

The fourth proportional to 3,366.42, 5,046.57 and 1,417.56 is: 2,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.42 : 5,046.57 = 1,417.56 : x
  2. Step 2: Convert to fraction form
    3,366.42/5,046.57 = 1,417.56/x
  3. Step 3: Cross multiply
    3,366.42x = 5,046.57 × 1,417.56
  4. Step 4: Simplify right side
    3,366.42x = 7,153,815.77
  5. Step 5: Solve for x
    x = 7,153,815.77/3,366.42
  6. Step 6: Final answer
    x = 2,125.05

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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.