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Finding the Fourth Proportional to 5,390.63, 7,439.06 and 3,032.78

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Solution

The fourth proportional to 5,390.63, 7,439.06 and 3,032.78 is: 4,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.63 : 7,439.06 = 3,032.78 : x
  2. Step 2: Convert to fraction form
    5,390.63/7,439.06 = 3,032.78/x
  3. Step 3: Cross multiply
    5,390.63x = 7,439.06 × 3,032.78
  4. Step 4: Simplify right side
    5,390.63x = 22,561,058.57
  5. Step 5: Solve for x
    x = 22,561,058.57/5,390.63
  6. Step 6: Final answer
    x = 4,185.24

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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.