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Finding the Fourth Proportional to 4,107.84, 5,669.07 and 2,339.46

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Solution

The fourth proportional to 4,107.84, 5,669.07 and 2,339.46 is: 3,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.84 : 5,669.07 = 2,339.46 : x
  2. Step 2: Convert to fraction form
    4,107.84/5,669.07 = 2,339.46/x
  3. Step 3: Cross multiply
    4,107.84x = 5,669.07 × 2,339.46
  4. Step 4: Simplify right side
    4,107.84x = 13,262,562.50
  5. Step 5: Solve for x
    x = 13,262,562.50/4,107.84
  6. Step 6: Final answer
    x = 3,228.60

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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.