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Finding the Fourth Proportional to 3,461.86, 4,774.90 and 2,311.47

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Solution

The fourth proportional to 3,461.86, 4,774.90 and 2,311.47 is: 3,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.86 : 4,774.90 = 2,311.47 : x
  2. Step 2: Convert to fraction form
    3,461.86/4,774.90 = 2,311.47/x
  3. Step 3: Cross multiply
    3,461.86x = 4,774.90 × 2,311.47
  4. Step 4: Simplify right side
    3,461.86x = 11,037,038.10
  5. Step 5: Solve for x
    x = 11,037,038.10/3,461.86
  6. Step 6: Final answer
    x = 3,188.18

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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.