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Finding the Fourth Proportional to 3,851.18, 5,776.02 and 1,253.50

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Solution

The fourth proportional to 3,851.18, 5,776.02 and 1,253.50 is: 1,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.18 : 5,776.02 = 1,253.50 : x
  2. Step 2: Convert to fraction form
    3,851.18/5,776.02 = 1,253.50/x
  3. Step 3: Cross multiply
    3,851.18x = 5,776.02 × 1,253.50
  4. Step 4: Simplify right side
    3,851.18x = 7,240,241.07
  5. Step 5: Solve for x
    x = 7,240,241.07/3,851.18
  6. Step 6: Final answer
    x = 1,880.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.