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Finding the Fourth Proportional to 4,641.71, 6,964.65 and 2,304.05

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Solution

The fourth proportional to 4,641.71, 6,964.65 and 2,304.05 is: 3,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.71 : 6,964.65 = 2,304.05 : x
  2. Step 2: Convert to fraction form
    4,641.71/6,964.65 = 2,304.05/x
  3. Step 3: Cross multiply
    4,641.71x = 6,964.65 × 2,304.05
  4. Step 4: Simplify right side
    4,641.71x = 16,046,867.01
  5. Step 5: Solve for x
    x = 16,046,867.01/4,641.71
  6. Step 6: Final answer
    x = 3,457.11

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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.