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Finding the Fourth Proportional to 3,407.04, 5,101.88 and 3,121.92

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Solution

The fourth proportional to 3,407.04, 5,101.88 and 3,121.92 is: 4,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.04 : 5,101.88 = 3,121.92 : x
  2. Step 2: Convert to fraction form
    3,407.04/5,101.88 = 3,121.92/x
  3. Step 3: Cross multiply
    3,407.04x = 5,101.88 × 3,121.92
  4. Step 4: Simplify right side
    3,407.04x = 15,927,661.21
  5. Step 5: Solve for x
    x = 15,927,661.21/3,407.04
  6. Step 6: Final answer
    x = 4,674.93

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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.