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Finding the Fourth Proportional to 3,461.92, 4,774.08 and 2,798.32

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Solution

The fourth proportional to 3,461.92, 4,774.08 and 2,798.32 is: 3,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.92 : 4,774.08 = 2,798.32 : x
  2. Step 2: Convert to fraction form
    3,461.92/4,774.08 = 2,798.32/x
  3. Step 3: Cross multiply
    3,461.92x = 4,774.08 × 2,798.32
  4. Step 4: Simplify right side
    3,461.92x = 13,359,403.55
  5. Step 5: Solve for x
    x = 13,359,403.55/3,461.92
  6. Step 6: Final answer
    x = 3,858.96

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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.