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Finding the Fourth Proportional to 5,313.39, 7,971.33 and 5,225.24

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Solution

The fourth proportional to 5,313.39, 7,971.33 and 5,225.24 is: 7,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.39 : 7,971.33 = 5,225.24 : x
  2. Step 2: Convert to fraction form
    5,313.39/7,971.33 = 5,225.24/x
  3. Step 3: Cross multiply
    5,313.39x = 7,971.33 × 5,225.24
  4. Step 4: Simplify right side
    5,313.39x = 41,652,072.51
  5. Step 5: Solve for x
    x = 41,652,072.51/5,313.39
  6. Step 6: Final answer
    x = 7,839.08

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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.