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Finding the Fourth Proportional to 3,562.70, 5,345.42 and 1,482.17

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Solution

The fourth proportional to 3,562.70, 5,345.42 and 1,482.17 is: 2,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.70 : 5,345.42 = 1,482.17 : x
  2. Step 2: Convert to fraction form
    3,562.70/5,345.42 = 1,482.17/x
  3. Step 3: Cross multiply
    3,562.70x = 5,345.42 × 1,482.17
  4. Step 4: Simplify right side
    3,562.70x = 7,922,787.02
  5. Step 5: Solve for x
    x = 7,922,787.02/3,562.70
  6. Step 6: Final answer
    x = 2,223.82

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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.