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Finding the Fourth Proportional to 3,842.64, 5,303 and 2,270.68

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Solution

The fourth proportional to 3,842.64, 5,303 and 2,270.68 is: 3,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.64 : 5,303 = 2,270.68 : x
  2. Step 2: Convert to fraction form
    3,842.64/5,303 = 2,270.68/x
  3. Step 3: Cross multiply
    3,842.64x = 5,303 × 2,270.68
  4. Step 4: Simplify right side
    3,842.64x = 12,041,416.04
  5. Step 5: Solve for x
    x = 12,041,416.04/3,842.64
  6. Step 6: Final answer
    x = 3,133.63

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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.