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Finding the Fourth Proportional to 4,656.71, 6,975.02 and 2,187.83

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Solution

The fourth proportional to 4,656.71, 6,975.02 and 2,187.83 is: 3,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.71 : 6,975.02 = 2,187.83 : x
  2. Step 2: Convert to fraction form
    4,656.71/6,975.02 = 2,187.83/x
  3. Step 3: Cross multiply
    4,656.71x = 6,975.02 × 2,187.83
  4. Step 4: Simplify right side
    4,656.71x = 15,260,112.19
  5. Step 5: Solve for x
    x = 15,260,112.19/4,656.71
  6. Step 6: Final answer
    x = 3,277.02

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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.