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Finding the Fourth Proportional to 5,306.58, 7,959.87 and 4,076.19

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Solution

The fourth proportional to 5,306.58, 7,959.87 and 4,076.19 is: 6,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.58 : 7,959.87 = 4,076.19 : x
  2. Step 2: Convert to fraction form
    5,306.58/7,959.87 = 4,076.19/x
  3. Step 3: Cross multiply
    5,306.58x = 7,959.87 × 4,076.19
  4. Step 4: Simplify right side
    5,306.58x = 32,445,942.50
  5. Step 5: Solve for x
    x = 32,445,942.50/5,306.58
  6. Step 6: Final answer
    x = 6,114.29

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1.5x scale

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.