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Finding the Fourth Proportional to 4,465.83, 6,693.41 and 1,542.51

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Solution

The fourth proportional to 4,465.83, 6,693.41 and 1,542.51 is: 2,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.83 : 6,693.41 = 1,542.51 : x
  2. Step 2: Convert to fraction form
    4,465.83/6,693.41 = 1,542.51/x
  3. Step 3: Cross multiply
    4,465.83x = 6,693.41 × 1,542.51
  4. Step 4: Simplify right side
    4,465.83x = 10,324,644.15
  5. Step 5: Solve for x
    x = 10,324,644.15/4,465.83
  6. Step 6: Final answer
    x = 2,311.92

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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.