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Finding the Fourth Proportional to 3,562.84, 5,345.34 and 2,098.90

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Solution

The fourth proportional to 3,562.84, 5,345.34 and 2,098.90 is: 3,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.84 : 5,345.34 = 2,098.90 : x
  2. Step 2: Convert to fraction form
    3,562.84/5,345.34 = 2,098.90/x
  3. Step 3: Cross multiply
    3,562.84x = 5,345.34 × 2,098.90
  4. Step 4: Simplify right side
    3,562.84x = 11,219,334.13
  5. Step 5: Solve for x
    x = 11,219,334.13/3,562.84
  6. Step 6: Final answer
    x = 3,148.99

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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.