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Finding the Fourth Proportional to 5,302.76, 7,954.17 and 1,605.02

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Solution

The fourth proportional to 5,302.76, 7,954.17 and 1,605.02 is: 2,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.76 : 7,954.17 = 1,605.02 : x
  2. Step 2: Convert to fraction form
    5,302.76/7,954.17 = 1,605.02/x
  3. Step 3: Cross multiply
    5,302.76x = 7,954.17 × 1,605.02
  4. Step 4: Simplify right side
    5,302.76x = 12,766,562.16
  5. Step 5: Solve for x
    x = 12,766,562.16/5,302.76
  6. Step 6: Final answer
    x = 2,407.53

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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.