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Finding the Fourth Proportional to 4,166.82, 6,248.19 and 2,852.58

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Solution

The fourth proportional to 4,166.82, 6,248.19 and 2,852.58 is: 4,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.82 : 6,248.19 = 2,852.58 : x
  2. Step 2: Convert to fraction form
    4,166.82/6,248.19 = 2,852.58/x
  3. Step 3: Cross multiply
    4,166.82x = 6,248.19 × 2,852.58
  4. Step 4: Simplify right side
    4,166.82x = 17,823,461.83
  5. Step 5: Solve for x
    x = 17,823,461.83/4,166.82
  6. Step 6: Final answer
    x = 4,277.47

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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.