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Finding the Fourth Proportional to 3,807.48, 5,253.90 and 2,151.48

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Solution

The fourth proportional to 3,807.48, 5,253.90 and 2,151.48 is: 2,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.48 : 5,253.90 = 2,151.48 : x
  2. Step 2: Convert to fraction form
    3,807.48/5,253.90 = 2,151.48/x
  3. Step 3: Cross multiply
    3,807.48x = 5,253.90 × 2,151.48
  4. Step 4: Simplify right side
    3,807.48x = 11,303,660.77
  5. Step 5: Solve for x
    x = 11,303,660.77/3,807.48
  6. Step 6: Final answer
    x = 2,968.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.