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Finding the Fourth Proportional to 3,624.64, 5,427.78 and 3,038.11

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Solution

The fourth proportional to 3,624.64, 5,427.78 and 3,038.11 is: 4,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.64 : 5,427.78 = 3,038.11 : x
  2. Step 2: Convert to fraction form
    3,624.64/5,427.78 = 3,038.11/x
  3. Step 3: Cross multiply
    3,624.64x = 5,427.78 × 3,038.11
  4. Step 4: Simplify right side
    3,624.64x = 16,490,192.70
  5. Step 5: Solve for x
    x = 16,490,192.70/3,624.64
  6. Step 6: Final answer
    x = 4,549.47

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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.