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Finding the Fourth Proportional to 5,096.52, 7,047 and 4,860

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Solution

The fourth proportional to 5,096.52, 7,047 and 4,860 is: 6,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.52 : 7,047 = 4,860 : x
  2. Step 2: Convert to fraction form
    5,096.52/7,047 = 4,860/x
  3. Step 3: Cross multiply
    5,096.52x = 7,047 × 4,860
  4. Step 4: Simplify right side
    5,096.52x = 34,248,420
  5. Step 5: Solve for x
    x = 34,248,420/5,096.52
  6. Step 6: Final answer
    x = 6,719.96

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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.