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Finding the Fourth Proportional to 4,166.51, 5,750.33 and 2,397.78

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Solution

The fourth proportional to 4,166.51, 5,750.33 and 2,397.78 is: 3,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.51 : 5,750.33 = 2,397.78 : x
  2. Step 2: Convert to fraction form
    4,166.51/5,750.33 = 2,397.78/x
  3. Step 3: Cross multiply
    4,166.51x = 5,750.33 × 2,397.78
  4. Step 4: Simplify right side
    4,166.51x = 13,788,014.28
  5. Step 5: Solve for x
    x = 13,788,014.28/4,166.51
  6. Step 6: Final answer
    x = 3,309.25

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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.