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Finding the Fourth Proportional to 3,544.19, 5,316.07 and 1,569.24

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Solution

The fourth proportional to 3,544.19, 5,316.07 and 1,569.24 is: 2,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.19 : 5,316.07 = 1,569.24 : x
  2. Step 2: Convert to fraction form
    3,544.19/5,316.07 = 1,569.24/x
  3. Step 3: Cross multiply
    3,544.19x = 5,316.07 × 1,569.24
  4. Step 4: Simplify right side
    3,544.19x = 8,342,167.13
  5. Step 5: Solve for x
    x = 8,342,167.13/3,544.19
  6. Step 6: Final answer
    x = 2,353.76

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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.