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Finding the Fourth Proportional to 3,364.85, 5,036.90 and 3,077.80

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Solution

The fourth proportional to 3,364.85, 5,036.90 and 3,077.80 is: 4,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.85 : 5,036.90 = 3,077.80 : x
  2. Step 2: Convert to fraction form
    3,364.85/5,036.90 = 3,077.80/x
  3. Step 3: Cross multiply
    3,364.85x = 5,036.90 × 3,077.80
  4. Step 4: Simplify right side
    3,364.85x = 15,502,542.84
  5. Step 5: Solve for x
    x = 15,502,542.84/3,364.85
  6. Step 6: Final answer
    x = 4,607.20

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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.