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Finding the Fourth Proportional to 5,878.46, 8,110.02 and 3,754.06

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Solution

The fourth proportional to 5,878.46, 8,110.02 and 3,754.06 is: 5,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.46 : 8,110.02 = 3,754.06 : x
  2. Step 2: Convert to fraction form
    5,878.46/8,110.02 = 3,754.06/x
  3. Step 3: Cross multiply
    5,878.46x = 8,110.02 × 3,754.06
  4. Step 4: Simplify right side
    5,878.46x = 30,445,501.68
  5. Step 5: Solve for x
    x = 30,445,501.68/5,878.46
  6. Step 6: Final answer
    x = 5,179.16

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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.