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Finding the Fourth Proportional to 3,547.34, 5,321.86 and 1,599.54

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Solution

The fourth proportional to 3,547.34, 5,321.86 and 1,599.54 is: 2,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.34 : 5,321.86 = 1,599.54 : x
  2. Step 2: Convert to fraction form
    3,547.34/5,321.86 = 1,599.54/x
  3. Step 3: Cross multiply
    3,547.34x = 5,321.86 × 1,599.54
  4. Step 4: Simplify right side
    3,547.34x = 8,512,527.94
  5. Step 5: Solve for x
    x = 8,512,527.94/3,547.34
  6. Step 6: Final answer
    x = 2,399.69

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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.