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Finding the Fourth Proportional to 5,390.76, 7,439.22 and 3,032.85

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Solution

The fourth proportional to 5,390.76, 7,439.22 and 3,032.85 is: 4,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.76 : 7,439.22 = 3,032.85 : x
  2. Step 2: Convert to fraction form
    5,390.76/7,439.22 = 3,032.85/x
  3. Step 3: Cross multiply
    5,390.76x = 7,439.22 × 3,032.85
  4. Step 4: Simplify right side
    5,390.76x = 22,562,038.38
  5. Step 5: Solve for x
    x = 22,562,038.38/5,390.76
  6. Step 6: Final answer
    x = 4,185.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.