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Finding the Fourth Proportional to 5,302.51, 7,317.80 and 3,064.80

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Solution

The fourth proportional to 5,302.51, 7,317.80 and 3,064.80 is: 4,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.51 : 7,317.80 = 3,064.80 : x
  2. Step 2: Convert to fraction form
    5,302.51/7,317.80 = 3,064.80/x
  3. Step 3: Cross multiply
    5,302.51x = 7,317.80 × 3,064.80
  4. Step 4: Simplify right side
    5,302.51x = 22,427,593.44
  5. Step 5: Solve for x
    x = 22,427,593.44/5,302.51
  6. Step 6: Final answer
    x = 4,229.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.