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Finding the Fourth Proportional to 5,164.56, 7,748.34 and 1,877.60

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Solution

The fourth proportional to 5,164.56, 7,748.34 and 1,877.60 is: 2,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.56 : 7,748.34 = 1,877.60 : x
  2. Step 2: Convert to fraction form
    5,164.56/7,748.34 = 1,877.60/x
  3. Step 3: Cross multiply
    5,164.56x = 7,748.34 × 1,877.60
  4. Step 4: Simplify right side
    5,164.56x = 14,548,283.18
  5. Step 5: Solve for x
    x = 14,548,283.18/5,164.56
  6. Step 6: Final answer
    x = 2,816.95

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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.