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Finding the Fourth Proportional to 5,096.48, 7,032.06 and 3,420

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Solution

The fourth proportional to 5,096.48, 7,032.06 and 3,420 is: 4,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.48 : 7,032.06 = 3,420 : x
  2. Step 2: Convert to fraction form
    5,096.48/7,032.06 = 3,420/x
  3. Step 3: Cross multiply
    5,096.48x = 7,032.06 × 3,420
  4. Step 4: Simplify right side
    5,096.48x = 24,049,645.20
  5. Step 5: Solve for x
    x = 24,049,645.20/5,096.48
  6. Step 6: Final answer
    x = 4,718.88

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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.