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Finding the Fourth Proportional to 3,530.50, 4,870.98 and 2,351.76

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Solution

The fourth proportional to 3,530.50, 4,870.98 and 2,351.76 is: 3,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.50 : 4,870.98 = 2,351.76 : x
  2. Step 2: Convert to fraction form
    3,530.50/4,870.98 = 2,351.76/x
  3. Step 3: Cross multiply
    3,530.50x = 4,870.98 × 2,351.76
  4. Step 4: Simplify right side
    3,530.50x = 11,455,375.92
  5. Step 5: Solve for x
    x = 11,455,375.92/3,530.50
  6. Step 6: Final answer
    x = 3,244.69

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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.