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Finding the Fourth Proportional to 4,643.06, 6,957.14 and 3,713.72

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Solution

The fourth proportional to 4,643.06, 6,957.14 and 3,713.72 is: 5,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.06 : 6,957.14 = 3,713.72 : x
  2. Step 2: Convert to fraction form
    4,643.06/6,957.14 = 3,713.72/x
  3. Step 3: Cross multiply
    4,643.06x = 6,957.14 × 3,713.72
  4. Step 4: Simplify right side
    4,643.06x = 25,836,869.96
  5. Step 5: Solve for x
    x = 25,836,869.96/4,643.06
  6. Step 6: Final answer
    x = 5,564.62

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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.