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Finding the Fourth Proportional to 3,616.34, 5,421.88 and 2,443.44

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Solution

The fourth proportional to 3,616.34, 5,421.88 and 2,443.44 is: 3,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.34 : 5,421.88 = 2,443.44 : x
  2. Step 2: Convert to fraction form
    3,616.34/5,421.88 = 2,443.44/x
  3. Step 3: Cross multiply
    3,616.34x = 5,421.88 × 2,443.44
  4. Step 4: Simplify right side
    3,616.34x = 13,248,038.47
  5. Step 5: Solve for x
    x = 13,248,038.47/3,616.34
  6. Step 6: Final answer
    x = 3,663.38

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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.