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Finding the Fourth Proportional to 3,155.87, 4,733.88 and 1,306.49

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Solution

The fourth proportional to 3,155.87, 4,733.88 and 1,306.49 is: 1,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.87 : 4,733.88 = 1,306.49 : x
  2. Step 2: Convert to fraction form
    3,155.87/4,733.88 = 1,306.49/x
  3. Step 3: Cross multiply
    3,155.87x = 4,733.88 × 1,306.49
  4. Step 4: Simplify right side
    3,155.87x = 6,184,762.65
  5. Step 5: Solve for x
    x = 6,184,762.65/3,155.87
  6. Step 6: Final answer
    x = 1,959.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.