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Finding the Fourth Proportional to 5,366.48, 7,407.84 and 4,107.46

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Solution

The fourth proportional to 5,366.48, 7,407.84 and 4,107.46 is: 5,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.48 : 7,407.84 = 4,107.46 : x
  2. Step 2: Convert to fraction form
    5,366.48/7,407.84 = 4,107.46/x
  3. Step 3: Cross multiply
    5,366.48x = 7,407.84 × 4,107.46
  4. Step 4: Simplify right side
    5,366.48x = 30,427,406.49
  5. Step 5: Solve for x
    x = 30,427,406.49/5,366.48
  6. Step 6: Final answer
    x = 5,669.90

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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.