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Finding the Fourth Proportional to 4,689.84, 7,034.72 and 1,568.64

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Solution

The fourth proportional to 4,689.84, 7,034.72 and 1,568.64 is: 2,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.84 : 7,034.72 = 1,568.64 : x
  2. Step 2: Convert to fraction form
    4,689.84/7,034.72 = 1,568.64/x
  3. Step 3: Cross multiply
    4,689.84x = 7,034.72 × 1,568.64
  4. Step 4: Simplify right side
    4,689.84x = 11,034,943.18
  5. Step 5: Solve for x
    x = 11,034,943.18/4,689.84
  6. Step 6: Final answer
    x = 2,352.95

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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.