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Finding the Fourth Proportional to 5,068, 7,598.64 and 2,877.76

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Solution

The fourth proportional to 5,068, 7,598.64 and 2,877.76 is: 4,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068 : 7,598.64 = 2,877.76 : x
  2. Step 2: Convert to fraction form
    5,068/7,598.64 = 2,877.76/x
  3. Step 3: Cross multiply
    5,068x = 7,598.64 × 2,877.76
  4. Step 4: Simplify right side
    5,068x = 21,867,062.25
  5. Step 5: Solve for x
    x = 21,867,062.25/5,068
  6. Step 6: Final answer
    x = 4,314.73

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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.