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Finding the Fourth Proportional to 4,681.57, 7,022.31 and 1,907.59

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Solution

The fourth proportional to 4,681.57, 7,022.31 and 1,907.59 is: 2,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.57 : 7,022.31 = 1,907.59 : x
  2. Step 2: Convert to fraction form
    4,681.57/7,022.31 = 1,907.59/x
  3. Step 3: Cross multiply
    4,681.57x = 7,022.31 × 1,907.59
  4. Step 4: Simplify right side
    4,681.57x = 13,395,688.33
  5. Step 5: Solve for x
    x = 13,395,688.33/4,681.57
  6. Step 6: Final answer
    x = 2,861.37

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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.