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Finding the Fourth Proportional to 3,643.46, 5,465.25 and 1,046.40

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Solution

The fourth proportional to 3,643.46, 5,465.25 and 1,046.40 is: 1,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.46 : 5,465.25 = 1,046.40 : x
  2. Step 2: Convert to fraction form
    3,643.46/5,465.25 = 1,046.40/x
  3. Step 3: Cross multiply
    3,643.46x = 5,465.25 × 1,046.40
  4. Step 4: Simplify right side
    3,643.46x = 5,718,837.60
  5. Step 5: Solve for x
    x = 5,718,837.60/3,643.46
  6. Step 6: Final answer
    x = 1,569.62

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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.