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Finding the Fourth Proportional to 4,652.52, 6,980.40 and 2,189.22

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Solution

The fourth proportional to 4,652.52, 6,980.40 and 2,189.22 is: 3,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.52 : 6,980.40 = 2,189.22 : x
  2. Step 2: Convert to fraction form
    4,652.52/6,980.40 = 2,189.22/x
  3. Step 3: Cross multiply
    4,652.52x = 6,980.40 × 2,189.22
  4. Step 4: Simplify right side
    4,652.52x = 15,281,631.29
  5. Step 5: Solve for x
    x = 15,281,631.29/4,652.52
  6. Step 6: Final answer
    x = 3,284.59

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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.