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Finding the Fourth Proportional to 4,166.34, 5,750.16 and 2,397.94

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Solution

The fourth proportional to 4,166.34, 5,750.16 and 2,397.94 is: 3,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.34 : 5,750.16 = 2,397.94 : x
  2. Step 2: Convert to fraction form
    4,166.34/5,750.16 = 2,397.94/x
  3. Step 3: Cross multiply
    4,166.34x = 5,750.16 × 2,397.94
  4. Step 4: Simplify right side
    4,166.34x = 13,788,538.67
  5. Step 5: Solve for x
    x = 13,788,538.67/4,166.34
  6. Step 6: Final answer
    x = 3,309.51

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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.