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Finding the Fourth Proportional to 4,706.65, 6,494.95 and 2,717.84

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Solution

The fourth proportional to 4,706.65, 6,494.95 and 2,717.84 is: 3,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.65 : 6,494.95 = 2,717.84 : x
  2. Step 2: Convert to fraction form
    4,706.65/6,494.95 = 2,717.84/x
  3. Step 3: Cross multiply
    4,706.65x = 6,494.95 × 2,717.84
  4. Step 4: Simplify right side
    4,706.65x = 17,652,254.54
  5. Step 5: Solve for x
    x = 17,652,254.54/4,706.65
  6. Step 6: Final answer
    x = 3,750.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.