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Finding the Fourth Proportional to 5,202.38, 7,802.71 and 1,503.63

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Solution

The fourth proportional to 5,202.38, 7,802.71 and 1,503.63 is: 2,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.38 : 7,802.71 = 1,503.63 : x
  2. Step 2: Convert to fraction form
    5,202.38/7,802.71 = 1,503.63/x
  3. Step 3: Cross multiply
    5,202.38x = 7,802.71 × 1,503.63
  4. Step 4: Simplify right side
    5,202.38x = 11,732,385.08
  5. Step 5: Solve for x
    x = 11,732,385.08/5,202.38
  6. Step 6: Final answer
    x = 2,255.19

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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.