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Finding the Fourth Proportional to 4,098.67, 5,656.16 and 2,235.67

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Solution

The fourth proportional to 4,098.67, 5,656.16 and 2,235.67 is: 3,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.67 : 5,656.16 = 2,235.67 : x
  2. Step 2: Convert to fraction form
    4,098.67/5,656.16 = 2,235.67/x
  3. Step 3: Cross multiply
    4,098.67x = 5,656.16 × 2,235.67
  4. Step 4: Simplify right side
    4,098.67x = 12,645,298.68
  5. Step 5: Solve for x
    x = 12,645,298.68/4,098.67
  6. Step 6: Final answer
    x = 3,085.22

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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.