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Finding the Fourth Proportional to 3,639.41, 5,460.74 and 1,907.63

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Solution

The fourth proportional to 3,639.41, 5,460.74 and 1,907.63 is: 2,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.41 : 5,460.74 = 1,907.63 : x
  2. Step 2: Convert to fraction form
    3,639.41/5,460.74 = 1,907.63/x
  3. Step 3: Cross multiply
    3,639.41x = 5,460.74 × 1,907.63
  4. Step 4: Simplify right side
    3,639.41x = 10,417,034.60
  5. Step 5: Solve for x
    x = 10,417,034.60/3,639.41
  6. Step 6: Final answer
    x = 2,862.29

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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.