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Finding the Fourth Proportional to 3,156.02, 4,353.98 and 1,829.24

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Solution

The fourth proportional to 3,156.02, 4,353.98 and 1,829.24 is: 2,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.02 : 4,353.98 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    3,156.02/4,353.98 = 1,829.24/x
  3. Step 3: Cross multiply
    3,156.02x = 4,353.98 × 1,829.24
  4. Step 4: Simplify right side
    3,156.02x = 7,964,443.46
  5. Step 5: Solve for x
    x = 7,964,443.46/3,156.02
  6. Step 6: Final answer
    x = 2,523.58

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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.