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Finding the Fourth Proportional to 5,487.68, 7,570.16 and 3,494.78

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Solution

The fourth proportional to 5,487.68, 7,570.16 and 3,494.78 is: 4,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.68 : 7,570.16 = 3,494.78 : x
  2. Step 2: Convert to fraction form
    5,487.68/7,570.16 = 3,494.78/x
  3. Step 3: Cross multiply
    5,487.68x = 7,570.16 × 3,494.78
  4. Step 4: Simplify right side
    5,487.68x = 26,456,029.93
  5. Step 5: Solve for x
    x = 26,456,029.93/5,487.68
  6. Step 6: Final answer
    x = 4,820.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.