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Finding the Fourth Proportional to 4,706.77, 6,498.40 and 3,214.14

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Solution

The fourth proportional to 4,706.77, 6,498.40 and 3,214.14 is: 4,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.77 : 6,498.40 = 3,214.14 : x
  2. Step 2: Convert to fraction form
    4,706.77/6,498.40 = 3,214.14/x
  3. Step 3: Cross multiply
    4,706.77x = 6,498.40 × 3,214.14
  4. Step 4: Simplify right side
    4,706.77x = 20,886,767.38
  5. Step 5: Solve for x
    x = 20,886,767.38/4,706.77
  6. Step 6: Final answer
    x = 4,437.61

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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.