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Finding the Fourth Proportional to 3,156.98, 4,735.13 and 1,402.02

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Solution

The fourth proportional to 3,156.98, 4,735.13 and 1,402.02 is: 2,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.98 : 4,735.13 = 1,402.02 : x
  2. Step 2: Convert to fraction form
    3,156.98/4,735.13 = 1,402.02/x
  3. Step 3: Cross multiply
    3,156.98x = 4,735.13 × 1,402.02
  4. Step 4: Simplify right side
    3,156.98x = 6,638,750.47
  5. Step 5: Solve for x
    x = 6,638,750.47/3,156.98
  6. Step 6: Final answer
    x = 2,102.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.