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Finding the Fourth Proportional to 5,140.66, 7,706.37 and 1,851.45

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Solution

The fourth proportional to 5,140.66, 7,706.37 and 1,851.45 is: 2,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.66 : 7,706.37 = 1,851.45 : x
  2. Step 2: Convert to fraction form
    5,140.66/7,706.37 = 1,851.45/x
  3. Step 3: Cross multiply
    5,140.66x = 7,706.37 × 1,851.45
  4. Step 4: Simplify right side
    5,140.66x = 14,267,958.74
  5. Step 5: Solve for x
    x = 14,267,958.74/5,140.66
  6. Step 6: Final answer
    x = 2,775.51

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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.