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Finding the Fourth Proportional to 4,689.84, 7,033.05 and 2,091

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Solution

The fourth proportional to 4,689.84, 7,033.05 and 2,091 is: 3,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.84 : 7,033.05 = 2,091 : x
  2. Step 2: Convert to fraction form
    4,689.84/7,033.05 = 2,091/x
  3. Step 3: Cross multiply
    4,689.84x = 7,033.05 × 2,091
  4. Step 4: Simplify right side
    4,689.84x = 14,706,107.55
  5. Step 5: Solve for x
    x = 14,706,107.55/4,689.84
  6. Step 6: Final answer
    x = 3,135.74

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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.