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Finding the Fourth Proportional to 3,435.81, 5,151.36 and 1,585.89

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Solution

The fourth proportional to 3,435.81, 5,151.36 and 1,585.89 is: 2,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.81 : 5,151.36 = 1,585.89 : x
  2. Step 2: Convert to fraction form
    3,435.81/5,151.36 = 1,585.89/x
  3. Step 3: Cross multiply
    3,435.81x = 5,151.36 × 1,585.89
  4. Step 4: Simplify right side
    3,435.81x = 8,169,496.26
  5. Step 5: Solve for x
    x = 8,169,496.26/3,435.81
  6. Step 6: Final answer
    x = 2,377.75

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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.