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Finding the Fourth Proportional to 4,538.50, 6,808.83 and 1,460.50

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Solution

The fourth proportional to 4,538.50, 6,808.83 and 1,460.50 is: 2,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.50 : 6,808.83 = 1,460.50 : x
  2. Step 2: Convert to fraction form
    4,538.50/6,808.83 = 1,460.50/x
  3. Step 3: Cross multiply
    4,538.50x = 6,808.83 × 1,460.50
  4. Step 4: Simplify right side
    4,538.50x = 9,944,296.22
  5. Step 5: Solve for x
    x = 9,944,296.22/4,538.50
  6. Step 6: Final answer
    x = 2,191.10

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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.