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Finding the Fourth Proportional to 4,062.48, 6,093 and 1,465.44

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Solution

The fourth proportional to 4,062.48, 6,093 and 1,465.44 is: 2,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.48 : 6,093 = 1,465.44 : x
  2. Step 2: Convert to fraction form
    4,062.48/6,093 = 1,465.44/x
  3. Step 3: Cross multiply
    4,062.48x = 6,093 × 1,465.44
  4. Step 4: Simplify right side
    4,062.48x = 8,928,925.92
  5. Step 5: Solve for x
    x = 8,928,925.92/4,062.48
  6. Step 6: Final answer
    x = 2,197.90

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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.