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Finding the Fourth Proportional to 4,287.24, 5,905.62 and 4,287.24

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Solution

The fourth proportional to 4,287.24, 5,905.62 and 4,287.24 is: 5,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.24 : 5,905.62 = 4,287.24 : x
  2. Step 2: Convert to fraction form
    4,287.24/5,905.62 = 4,287.24/x
  3. Step 3: Cross multiply
    4,287.24x = 5,905.62 × 4,287.24
  4. Step 4: Simplify right side
    4,287.24x = 25,318,810.29
  5. Step 5: Solve for x
    x = 25,318,810.29/4,287.24
  6. Step 6: Final answer
    x = 5,905.62

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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.