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Finding the Fourth Proportional to 3,564.34, 5,346.09 and 1,098.95

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Solution

The fourth proportional to 3,564.34, 5,346.09 and 1,098.95 is: 1,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.34 : 5,346.09 = 1,098.95 : x
  2. Step 2: Convert to fraction form
    3,564.34/5,346.09 = 1,098.95/x
  3. Step 3: Cross multiply
    3,564.34x = 5,346.09 × 1,098.95
  4. Step 4: Simplify right side
    3,564.34x = 5,875,058.88
  5. Step 5: Solve for x
    x = 5,875,058.88/3,564.34
  6. Step 6: Final answer
    x = 1,648.29

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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.