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Finding the Fourth Proportional to 3,934.63, 5,429.63 and 2,254.87

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Solution

The fourth proportional to 3,934.63, 5,429.63 and 2,254.87 is: 3,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.63 : 5,429.63 = 2,254.87 : x
  2. Step 2: Convert to fraction form
    3,934.63/5,429.63 = 2,254.87/x
  3. Step 3: Cross multiply
    3,934.63x = 5,429.63 × 2,254.87
  4. Step 4: Simplify right side
    3,934.63x = 12,243,089.18
  5. Step 5: Solve for x
    x = 12,243,089.18/3,934.63
  6. Step 6: Final answer
    x = 3,111.63

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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.