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Finding the Fourth Proportional to 3,643.02, 5,465.34 and 1,045.75

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Solution

The fourth proportional to 3,643.02, 5,465.34 and 1,045.75 is: 1,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.02 : 5,465.34 = 1,045.75 : x
  2. Step 2: Convert to fraction form
    3,643.02/5,465.34 = 1,045.75/x
  3. Step 3: Cross multiply
    3,643.02x = 5,465.34 × 1,045.75
  4. Step 4: Simplify right side
    3,643.02x = 5,715,379.31
  5. Step 5: Solve for x
    x = 5,715,379.31/3,643.02
  6. Step 6: Final answer
    x = 1,568.86

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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.