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Finding the Fourth Proportional to 4,595.49, 6,896.52 and 1,822.23

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Solution

The fourth proportional to 4,595.49, 6,896.52 and 1,822.23 is: 2,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.49 : 6,896.52 = 1,822.23 : x
  2. Step 2: Convert to fraction form
    4,595.49/6,896.52 = 1,822.23/x
  3. Step 3: Cross multiply
    4,595.49x = 6,896.52 × 1,822.23
  4. Step 4: Simplify right side
    4,595.49x = 12,567,045.64
  5. Step 5: Solve for x
    x = 12,567,045.64/4,595.49
  6. Step 6: Final answer
    x = 2,734.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.