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Finding the Fourth Proportional to 3,752.78, 5,630.09 and 1,287.63

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Solution

The fourth proportional to 3,752.78, 5,630.09 and 1,287.63 is: 1,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.78 : 5,630.09 = 1,287.63 : x
  2. Step 2: Convert to fraction form
    3,752.78/5,630.09 = 1,287.63/x
  3. Step 3: Cross multiply
    3,752.78x = 5,630.09 × 1,287.63
  4. Step 4: Simplify right side
    3,752.78x = 7,249,466.35
  5. Step 5: Solve for x
    x = 7,249,466.35/3,752.78
  6. Step 6: Final answer
    x = 1,931.76

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1.5x scale

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.