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Finding the Fourth Proportional to 5,070.40, 7,568.88 and 4,381.48

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Solution

The fourth proportional to 5,070.40, 7,568.88 and 4,381.48 is: 6,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.40 : 7,568.88 = 4,381.48 : x
  2. Step 2: Convert to fraction form
    5,070.40/7,568.88 = 4,381.48/x
  3. Step 3: Cross multiply
    5,070.40x = 7,568.88 × 4,381.48
  4. Step 4: Simplify right side
    5,070.40x = 33,162,896.34
  5. Step 5: Solve for x
    x = 33,162,896.34/5,070.40
  6. Step 6: Final answer
    x = 6,540.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.