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Finding the Fourth Proportional to 4,089.85, 6,133.86 and 1,624.01

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Solution

The fourth proportional to 4,089.85, 6,133.86 and 1,624.01 is: 2,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.85 : 6,133.86 = 1,624.01 : x
  2. Step 2: Convert to fraction form
    4,089.85/6,133.86 = 1,624.01/x
  3. Step 3: Cross multiply
    4,089.85x = 6,133.86 × 1,624.01
  4. Step 4: Simplify right side
    4,089.85x = 9,961,419.31
  5. Step 5: Solve for x
    x = 9,961,419.31/4,089.85
  6. Step 6: Final answer
    x = 2,435.65

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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.