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Finding the Fourth Proportional to 3,466.47, 5,201.77 and 1,276.74

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Solution

The fourth proportional to 3,466.47, 5,201.77 and 1,276.74 is: 1,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.47 : 5,201.77 = 1,276.74 : x
  2. Step 2: Convert to fraction form
    3,466.47/5,201.77 = 1,276.74/x
  3. Step 3: Cross multiply
    3,466.47x = 5,201.77 × 1,276.74
  4. Step 4: Simplify right side
    3,466.47x = 6,641,307.03
  5. Step 5: Solve for x
    x = 6,641,307.03/3,466.47
  6. Step 6: Final answer
    x = 1,915.87

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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.