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Finding the Fourth Proportional to 4,774.32, 7,159.13 and 1,962.64

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Solution

The fourth proportional to 4,774.32, 7,159.13 and 1,962.64 is: 2,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.32 : 7,159.13 = 1,962.64 : x
  2. Step 2: Convert to fraction form
    4,774.32/7,159.13 = 1,962.64/x
  3. Step 3: Cross multiply
    4,774.32x = 7,159.13 × 1,962.64
  4. Step 4: Simplify right side
    4,774.32x = 14,050,785.09
  5. Step 5: Solve for x
    x = 14,050,785.09/4,774.32
  6. Step 6: Final answer
    x = 2,942.99

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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.