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Finding the Fourth Proportional to 5,315.96, 7,334.90 and 3,077.70

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Solution

The fourth proportional to 5,315.96, 7,334.90 and 3,077.70 is: 4,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.96 : 7,334.90 = 3,077.70 : x
  2. Step 2: Convert to fraction form
    5,315.96/7,334.90 = 3,077.70/x
  3. Step 3: Cross multiply
    5,315.96x = 7,334.90 × 3,077.70
  4. Step 4: Simplify right side
    5,315.96x = 22,574,621.73
  5. Step 5: Solve for x
    x = 22,574,621.73/5,315.96
  6. Step 6: Final answer
    x = 4,246.57

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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.