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Finding the Fourth Proportional to 3,643, 5,465.42 and 1,045.94

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Solution

The fourth proportional to 3,643, 5,465.42 and 1,045.94 is: 1,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643 : 5,465.42 = 1,045.94 : x
  2. Step 2: Convert to fraction form
    3,643/5,465.42 = 1,045.94/x
  3. Step 3: Cross multiply
    3,643x = 5,465.42 × 1,045.94
  4. Step 4: Simplify right side
    3,643x = 5,716,490.35
  5. Step 5: Solve for x
    x = 5,716,490.35/3,643
  6. Step 6: Final answer
    x = 1,569.17

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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.