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Finding the Fourth Proportional to 3,547.39, 5,322.89 and 1,599.16

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Solution

The fourth proportional to 3,547.39, 5,322.89 and 1,599.16 is: 2,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.39 : 5,322.89 = 1,599.16 : x
  2. Step 2: Convert to fraction form
    3,547.39/5,322.89 = 1,599.16/x
  3. Step 3: Cross multiply
    3,547.39x = 5,322.89 × 1,599.16
  4. Step 4: Simplify right side
    3,547.39x = 8,512,144.78
  5. Step 5: Solve for x
    x = 8,512,144.78/3,547.39
  6. Step 6: Final answer
    x = 2,399.55

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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.