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Finding the Fourth Proportional to 5,442.02, 7,509.42 and 3,203.76

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Solution

The fourth proportional to 5,442.02, 7,509.42 and 3,203.76 is: 4,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.02 : 7,509.42 = 3,203.76 : x
  2. Step 2: Convert to fraction form
    5,442.02/7,509.42 = 3,203.76/x
  3. Step 3: Cross multiply
    5,442.02x = 7,509.42 × 3,203.76
  4. Step 4: Simplify right side
    5,442.02x = 24,058,379.42
  5. Step 5: Solve for x
    x = 24,058,379.42/5,442.02
  6. Step 6: Final answer
    x = 4,420.86

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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.