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Finding the Fourth Proportional to 5,420.32, 7,472.64 and 3,429.88

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Solution

The fourth proportional to 5,420.32, 7,472.64 and 3,429.88 is: 4,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.32 : 7,472.64 = 3,429.88 : x
  2. Step 2: Convert to fraction form
    5,420.32/7,472.64 = 3,429.88/x
  3. Step 3: Cross multiply
    5,420.32x = 7,472.64 × 3,429.88
  4. Step 4: Simplify right side
    5,420.32x = 25,630,258.48
  5. Step 5: Solve for x
    x = 25,630,258.48/5,420.32
  6. Step 6: Final answer
    x = 4,728.55

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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.