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Finding the Fourth Proportional to 3,077.54, 4,616.34 and 2,465.13

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Solution

The fourth proportional to 3,077.54, 4,616.34 and 2,465.13 is: 3,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.54 : 4,616.34 = 2,465.13 : x
  2. Step 2: Convert to fraction form
    3,077.54/4,616.34 = 2,465.13/x
  3. Step 3: Cross multiply
    3,077.54x = 4,616.34 × 2,465.13
  4. Step 4: Simplify right side
    3,077.54x = 11,379,900.16
  5. Step 5: Solve for x
    x = 11,379,900.16/3,077.54
  6. Step 6: Final answer
    x = 3,697.72

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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.