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Finding the Fourth Proportional to 4,143.90, 6,215.72 and 1,023.93

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Solution

The fourth proportional to 4,143.90, 6,215.72 and 1,023.93 is: 1,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.90 : 6,215.72 = 1,023.93 : x
  2. Step 2: Convert to fraction form
    4,143.90/6,215.72 = 1,023.93/x
  3. Step 3: Cross multiply
    4,143.90x = 6,215.72 × 1,023.93
  4. Step 4: Simplify right side
    4,143.90x = 6,364,462.18
  5. Step 5: Solve for x
    x = 6,364,462.18/4,143.90
  6. Step 6: Final answer
    x = 1,535.86

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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.