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Finding the Fourth Proportional to 3,547.80, 5,321.70 and 3,346.20

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Solution

The fourth proportional to 3,547.80, 5,321.70 and 3,346.20 is: 5,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.80 : 5,321.70 = 3,346.20 : x
  2. Step 2: Convert to fraction form
    3,547.80/5,321.70 = 3,346.20/x
  3. Step 3: Cross multiply
    3,547.80x = 5,321.70 × 3,346.20
  4. Step 4: Simplify right side
    3,547.80x = 17,807,472.54
  5. Step 5: Solve for x
    x = 17,807,472.54/3,547.80
  6. Step 6: Final answer
    x = 5,019.30

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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.