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Finding the Fourth Proportional to 3,851.76, 5,309.37 and 3,146.52

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Solution

The fourth proportional to 3,851.76, 5,309.37 and 3,146.52 is: 4,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.76 : 5,309.37 = 3,146.52 : x
  2. Step 2: Convert to fraction form
    3,851.76/5,309.37 = 3,146.52/x
  3. Step 3: Cross multiply
    3,851.76x = 5,309.37 × 3,146.52
  4. Step 4: Simplify right side
    3,851.76x = 16,706,038.89
  5. Step 5: Solve for x
    x = 16,706,038.89/3,851.76
  6. Step 6: Final answer
    x = 4,337.25

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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.