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Finding the Fourth Proportional to 5,681.60, 8,522.40 and 4,112

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Solution

The fourth proportional to 5,681.60, 8,522.40 and 4,112 is: 6,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.60 : 8,522.40 = 4,112 : x
  2. Step 2: Convert to fraction form
    5,681.60/8,522.40 = 4,112/x
  3. Step 3: Cross multiply
    5,681.60x = 8,522.40 × 4,112
  4. Step 4: Simplify right side
    5,681.60x = 35,044,108.80
  5. Step 5: Solve for x
    x = 35,044,108.80/5,681.60
  6. Step 6: Final answer
    x = 6,168.00

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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.