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Finding the Fourth Proportional to 5,302.64, 7,951.53 and 1,605.26

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Solution

The fourth proportional to 5,302.64, 7,951.53 and 1,605.26 is: 2,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.64 : 7,951.53 = 1,605.26 : x
  2. Step 2: Convert to fraction form
    5,302.64/7,951.53 = 1,605.26/x
  3. Step 3: Cross multiply
    5,302.64x = 7,951.53 × 1,605.26
  4. Step 4: Simplify right side
    5,302.64x = 12,764,273.05
  5. Step 5: Solve for x
    x = 12,764,273.05/5,302.64
  6. Step 6: Final answer
    x = 2,407.15

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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.