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Finding the Fourth Proportional to 5,088.48, 7,020 and 3,765.44

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Solution

The fourth proportional to 5,088.48, 7,020 and 3,765.44 is: 5,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.48 : 7,020 = 3,765.44 : x
  2. Step 2: Convert to fraction form
    5,088.48/7,020 = 3,765.44/x
  3. Step 3: Cross multiply
    5,088.48x = 7,020 × 3,765.44
  4. Step 4: Simplify right side
    5,088.48x = 26,433,388.80
  5. Step 5: Solve for x
    x = 26,433,388.80/5,088.48
  6. Step 6: Final answer
    x = 5,194.75

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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.