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Finding the Fourth Proportional to 5,907.92, 8,138.76 and 4,041.68

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Solution

The fourth proportional to 5,907.92, 8,138.76 and 4,041.68 is: 5,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.92 : 8,138.76 = 4,041.68 : x
  2. Step 2: Convert to fraction form
    5,907.92/8,138.76 = 4,041.68/x
  3. Step 3: Cross multiply
    5,907.92x = 8,138.76 × 4,041.68
  4. Step 4: Simplify right side
    5,907.92x = 32,894,263.52
  5. Step 5: Solve for x
    x = 32,894,263.52/5,907.92
  6. Step 6: Final answer
    x = 5,567.82

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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.