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Finding the Fourth Proportional to 5,224.39, 7,837.59 and 1,526.65

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Solution

The fourth proportional to 5,224.39, 7,837.59 and 1,526.65 is: 2,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.39 : 7,837.59 = 1,526.65 : x
  2. Step 2: Convert to fraction form
    5,224.39/7,837.59 = 1,526.65/x
  3. Step 3: Cross multiply
    5,224.39x = 7,837.59 × 1,526.65
  4. Step 4: Simplify right side
    5,224.39x = 11,965,256.77
  5. Step 5: Solve for x
    x = 11,965,256.77/5,224.39
  6. Step 6: Final answer
    x = 2,290.27

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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.