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Finding the Fourth Proportional to 4,262.70, 6,393.54 and 1,142.94

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Solution

The fourth proportional to 4,262.70, 6,393.54 and 1,142.94 is: 1,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.70 : 6,393.54 = 1,142.94 : x
  2. Step 2: Convert to fraction form
    4,262.70/6,393.54 = 1,142.94/x
  3. Step 3: Cross multiply
    4,262.70x = 6,393.54 × 1,142.94
  4. Step 4: Simplify right side
    4,262.70x = 7,307,432.61
  5. Step 5: Solve for x
    x = 7,307,432.61/4,262.70
  6. Step 6: Final answer
    x = 1,714.27

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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.