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Finding the Fourth Proportional to 4,978.88, 7,463.66 and 1,689.68

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Solution

The fourth proportional to 4,978.88, 7,463.66 and 1,689.68 is: 2,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.88 : 7,463.66 = 1,689.68 : x
  2. Step 2: Convert to fraction form
    4,978.88/7,463.66 = 1,689.68/x
  3. Step 3: Cross multiply
    4,978.88x = 7,463.66 × 1,689.68
  4. Step 4: Simplify right side
    4,978.88x = 12,611,151.26
  5. Step 5: Solve for x
    x = 12,611,151.26/4,978.88
  6. Step 6: Final answer
    x = 2,532.93

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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.