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Finding the Fourth Proportional to 3,465.70, 4,777.72 and 2,138.52

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Solution

The fourth proportional to 3,465.70, 4,777.72 and 2,138.52 is: 2,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.70 : 4,777.72 = 2,138.52 : x
  2. Step 2: Convert to fraction form
    3,465.70/4,777.72 = 2,138.52/x
  3. Step 3: Cross multiply
    3,465.70x = 4,777.72 × 2,138.52
  4. Step 4: Simplify right side
    3,465.70x = 10,217,249.77
  5. Step 5: Solve for x
    x = 10,217,249.77/3,465.70
  6. Step 6: Final answer
    x = 2,948.11

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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.