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Finding the Fourth Proportional to 5,235.50, 7,849.60 and 2,461.66

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Solution

The fourth proportional to 5,235.50, 7,849.60 and 2,461.66 is: 3,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.50 : 7,849.60 = 2,461.66 : x
  2. Step 2: Convert to fraction form
    5,235.50/7,849.60 = 2,461.66/x
  3. Step 3: Cross multiply
    5,235.50x = 7,849.60 × 2,461.66
  4. Step 4: Simplify right side
    5,235.50x = 19,323,046.34
  5. Step 5: Solve for x
    x = 19,323,046.34/5,235.50
  6. Step 6: Final answer
    x = 3,690.77

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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.