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Finding the Fourth Proportional to 5,398.32, 7,440.72 and 4,277.28

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Solution

The fourth proportional to 5,398.32, 7,440.72 and 4,277.28 is: 5,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.32 : 7,440.72 = 4,277.28 : x
  2. Step 2: Convert to fraction form
    5,398.32/7,440.72 = 4,277.28/x
  3. Step 3: Cross multiply
    5,398.32x = 7,440.72 × 4,277.28
  4. Step 4: Simplify right side
    5,398.32x = 31,826,042.84
  5. Step 5: Solve for x
    x = 31,826,042.84/5,398.32
  6. Step 6: Final answer
    x = 5,895.55

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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.