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Finding the Fourth Proportional to 3,256.53, 4,884.80 and 1,407.30

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Solution

The fourth proportional to 3,256.53, 4,884.80 and 1,407.30 is: 2,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.53 : 4,884.80 = 1,407.30 : x
  2. Step 2: Convert to fraction form
    3,256.53/4,884.80 = 1,407.30/x
  3. Step 3: Cross multiply
    3,256.53x = 4,884.80 × 1,407.30
  4. Step 4: Simplify right side
    3,256.53x = 6,874,372.00
  5. Step 5: Solve for x
    x = 6,874,372.00/3,256.53
  6. Step 6: Final answer
    x = 2,110.95

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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.