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Finding the Fourth Proportional to 4,774.12, 7,161.18 and 1,695.88

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Solution

The fourth proportional to 4,774.12, 7,161.18 and 1,695.88 is: 2,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.12 : 7,161.18 = 1,695.88 : x
  2. Step 2: Convert to fraction form
    4,774.12/7,161.18 = 1,695.88/x
  3. Step 3: Cross multiply
    4,774.12x = 7,161.18 × 1,695.88
  4. Step 4: Simplify right side
    4,774.12x = 12,144,501.94
  5. Step 5: Solve for x
    x = 12,144,501.94/4,774.12
  6. Step 6: Final answer
    x = 2,543.82

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