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Finding the Fourth Proportional to 3,274.17, 4,929.76 and 2,886.66

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Solution

The fourth proportional to 3,274.17, 4,929.76 and 2,886.66 is: 4,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.17 : 4,929.76 = 2,886.66 : x
  2. Step 2: Convert to fraction form
    3,274.17/4,929.76 = 2,886.66/x
  3. Step 3: Cross multiply
    3,274.17x = 4,929.76 × 2,886.66
  4. Step 4: Simplify right side
    3,274.17x = 14,230,541.00
  5. Step 5: Solve for x
    x = 14,230,541.00/3,274.17
  6. Step 6: Final answer
    x = 4,346.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.