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Finding the Fourth Proportional to 3,564.84, 5,345.30 and 1,098.98

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Solution

The fourth proportional to 3,564.84, 5,345.30 and 1,098.98 is: 1,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.84 : 5,345.30 = 1,098.98 : x
  2. Step 2: Convert to fraction form
    3,564.84/5,345.30 = 1,098.98/x
  3. Step 3: Cross multiply
    3,564.84x = 5,345.30 × 1,098.98
  4. Step 4: Simplify right side
    3,564.84x = 5,874,353.81
  5. Step 5: Solve for x
    x = 5,874,353.81/3,564.84
  6. Step 6: Final answer
    x = 1,647.86

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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.