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Finding the Fourth Proportional to 3,756.25, 5,630.40 and 1,256.81

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Solution

The fourth proportional to 3,756.25, 5,630.40 and 1,256.81 is: 1,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.25 : 5,630.40 = 1,256.81 : x
  2. Step 2: Convert to fraction form
    3,756.25/5,630.40 = 1,256.81/x
  3. Step 3: Cross multiply
    3,756.25x = 5,630.40 × 1,256.81
  4. Step 4: Simplify right side
    3,756.25x = 7,076,308.59
  5. Step 5: Solve for x
    x = 7,076,308.59/3,756.25
  6. Step 6: Final answer
    x = 1,883.88

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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.