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Finding the Fourth Proportional to 3,547.38, 5,323.90 and 1,599.74

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Solution

The fourth proportional to 3,547.38, 5,323.90 and 1,599.74 is: 2,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.38 : 5,323.90 = 1,599.74 : x
  2. Step 2: Convert to fraction form
    3,547.38/5,323.90 = 1,599.74/x
  3. Step 3: Cross multiply
    3,547.38x = 5,323.90 × 1,599.74
  4. Step 4: Simplify right side
    3,547.38x = 8,516,829.17
  5. Step 5: Solve for x
    x = 8,516,829.17/3,547.38
  6. Step 6: Final answer
    x = 2,400.88

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1.5x scale

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.