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Finding the Fourth Proportional to 3,547.52, 5,323.07 and 1,599.29

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Solution

The fourth proportional to 3,547.52, 5,323.07 and 1,599.29 is: 2,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.52 : 5,323.07 = 1,599.29 : x
  2. Step 2: Convert to fraction form
    3,547.52/5,323.07 = 1,599.29/x
  3. Step 3: Cross multiply
    3,547.52x = 5,323.07 × 1,599.29
  4. Step 4: Simplify right side
    3,547.52x = 8,513,110.00
  5. Step 5: Solve for x
    x = 8,513,110.00/3,547.52
  6. Step 6: Final answer
    x = 2,399.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.