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Finding the Fourth Proportional to 4,595.54, 6,896.00 and 1,821.87

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Solution

The fourth proportional to 4,595.54, 6,896.00 and 1,821.87 is: 2,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.54 : 6,896.00 = 1,821.87 : x
  2. Step 2: Convert to fraction form
    4,595.54/6,896.00 = 1,821.87/x
  3. Step 3: Cross multiply
    4,595.54x = 6,896.00 × 1,821.87
  4. Step 4: Simplify right side
    4,595.54x = 12,563,602.83
  5. Step 5: Solve for x
    x = 12,563,602.83/4,595.54
  6. Step 6: Final answer
    x = 2,733.87

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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.