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Finding the Fourth Proportional to 3,624.46, 5,435.64 and 1,648.99

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Solution

The fourth proportional to 3,624.46, 5,435.64 and 1,648.99 is: 2,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.46 : 5,435.64 = 1,648.99 : x
  2. Step 2: Convert to fraction form
    3,624.46/5,435.64 = 1,648.99/x
  3. Step 3: Cross multiply
    3,624.46x = 5,435.64 × 1,648.99
  4. Step 4: Simplify right side
    3,624.46x = 8,963,316.00
  5. Step 5: Solve for x
    x = 8,963,316.00/3,624.46
  6. Step 6: Final answer
    x = 2,473.01

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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.