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Finding the Fourth Proportional to 5,315.70, 7,335.35 and 3,077.42

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Solution

The fourth proportional to 5,315.70, 7,335.35 and 3,077.42 is: 4,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.70 : 7,335.35 = 3,077.42 : x
  2. Step 2: Convert to fraction form
    5,315.70/7,335.35 = 3,077.42/x
  3. Step 3: Cross multiply
    5,315.70x = 7,335.35 × 3,077.42
  4. Step 4: Simplify right side
    5,315.70x = 22,573,912.27
  5. Step 5: Solve for x
    x = 22,573,912.27/5,315.70
  6. Step 6: Final answer
    x = 4,246.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.