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Finding the Fourth Proportional to 4,437, 6,123.87 and 3,112.74

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Solution

The fourth proportional to 4,437, 6,123.87 and 3,112.74 is: 4,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437 : 6,123.87 = 3,112.74 : x
  2. Step 2: Convert to fraction form
    4,437/6,123.87 = 3,112.74/x
  3. Step 3: Cross multiply
    4,437x = 6,123.87 × 3,112.74
  4. Step 4: Simplify right side
    4,437x = 19,062,015.10
  5. Step 5: Solve for x
    x = 19,062,015.10/4,437
  6. Step 6: Final answer
    x = 4,296.15

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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.