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Finding the Fourth Proportional to 5,287.17, 7,931.88 and 1,589.10

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Solution

The fourth proportional to 5,287.17, 7,931.88 and 1,589.10 is: 2,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.17 : 7,931.88 = 1,589.10 : x
  2. Step 2: Convert to fraction form
    5,287.17/7,931.88 = 1,589.10/x
  3. Step 3: Cross multiply
    5,287.17x = 7,931.88 × 1,589.10
  4. Step 4: Simplify right side
    5,287.17x = 12,604,550.51
  5. Step 5: Solve for x
    x = 12,604,550.51/5,287.17
  6. Step 6: Final answer
    x = 2,383.99

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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.