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Finding the Fourth Proportional to 3,156.32, 4,735.16 and 964.98

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Solution

The fourth proportional to 3,156.32, 4,735.16 and 964.98 is: 1,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.32 : 4,735.16 = 964.98 : x
  2. Step 2: Convert to fraction form
    3,156.32/4,735.16 = 964.98/x
  3. Step 3: Cross multiply
    3,156.32x = 4,735.16 × 964.98
  4. Step 4: Simplify right side
    3,156.32x = 4,569,337.11
  5. Step 5: Solve for x
    x = 4,569,337.11/3,156.32
  6. Step 6: Final answer
    x = 1,447.68

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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.