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Finding the Fourth Proportional to 5,222.48, 7,835.16 and 1,759.76

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Solution

The fourth proportional to 5,222.48, 7,835.16 and 1,759.76 is: 2,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.48 : 7,835.16 = 1,759.76 : x
  2. Step 2: Convert to fraction form
    5,222.48/7,835.16 = 1,759.76/x
  3. Step 3: Cross multiply
    5,222.48x = 7,835.16 × 1,759.76
  4. Step 4: Simplify right side
    5,222.48x = 13,788,001.16
  5. Step 5: Solve for x
    x = 13,788,001.16/5,222.48
  6. Step 6: Final answer
    x = 2,640.13

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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.