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Finding the Fourth Proportional to 3,547.92, 5,321.40 and 951.08

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Solution

The fourth proportional to 3,547.92, 5,321.40 and 951.08 is: 1,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.92 : 5,321.40 = 951.08 : x
  2. Step 2: Convert to fraction form
    3,547.92/5,321.40 = 951.08/x
  3. Step 3: Cross multiply
    3,547.92x = 5,321.40 × 951.08
  4. Step 4: Simplify right side
    3,547.92x = 5,061,077.11
  5. Step 5: Solve for x
    x = 5,061,077.11/3,547.92
  6. Step 6: Final answer
    x = 1,426.49

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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.