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Finding the Fourth Proportional to 3,613.19, 5,415.12 and 1,856.70

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Solution

The fourth proportional to 3,613.19, 5,415.12 and 1,856.70 is: 2,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.19 : 5,415.12 = 1,856.70 : x
  2. Step 2: Convert to fraction form
    3,613.19/5,415.12 = 1,856.70/x
  3. Step 3: Cross multiply
    3,613.19x = 5,415.12 × 1,856.70
  4. Step 4: Simplify right side
    3,613.19x = 10,054,253.30
  5. Step 5: Solve for x
    x = 10,054,253.30/3,613.19
  6. Step 6: Final answer
    x = 2,782.66

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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.