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Finding the Fourth Proportional to 4,289.02, 6,435.99 and 2,314.65

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Solution

The fourth proportional to 4,289.02, 6,435.99 and 2,314.65 is: 3,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.02 : 6,435.99 = 2,314.65 : x
  2. Step 2: Convert to fraction form
    4,289.02/6,435.99 = 2,314.65/x
  3. Step 3: Cross multiply
    4,289.02x = 6,435.99 × 2,314.65
  4. Step 4: Simplify right side
    4,289.02x = 14,897,064.25
  5. Step 5: Solve for x
    x = 14,897,064.25/4,289.02
  6. Step 6: Final answer
    x = 3,473.30

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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.