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Finding the Fourth Proportional to 5,390.80, 7,438.32 and 3,032.08

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Solution

The fourth proportional to 5,390.80, 7,438.32 and 3,032.08 is: 4,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.80 : 7,438.32 = 3,032.08 : x
  2. Step 2: Convert to fraction form
    5,390.80/7,438.32 = 3,032.08/x
  3. Step 3: Cross multiply
    5,390.80x = 7,438.32 × 3,032.08
  4. Step 4: Simplify right side
    5,390.80x = 22,553,581.31
  5. Step 5: Solve for x
    x = 22,553,581.31/5,390.80
  6. Step 6: Final answer
    x = 4,183.72

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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.