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Finding the Fourth Proportional to 5,088.68, 7,636.03 and 2,839.10

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Solution

The fourth proportional to 5,088.68, 7,636.03 and 2,839.10 is: 4,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.68 : 7,636.03 = 2,839.10 : x
  2. Step 2: Convert to fraction form
    5,088.68/7,636.03 = 2,839.10/x
  3. Step 3: Cross multiply
    5,088.68x = 7,636.03 × 2,839.10
  4. Step 4: Simplify right side
    5,088.68x = 21,679,407.50
  5. Step 5: Solve for x
    x = 21,679,407.50/5,088.68
  6. Step 6: Final answer
    x = 4,260.32

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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.