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Finding the Fourth Proportional to 3,509.94, 5,260.37 and 1,427.53

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Solution

The fourth proportional to 3,509.94, 5,260.37 and 1,427.53 is: 2,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.94 : 5,260.37 = 1,427.53 : x
  2. Step 2: Convert to fraction form
    3,509.94/5,260.37 = 1,427.53/x
  3. Step 3: Cross multiply
    3,509.94x = 5,260.37 × 1,427.53
  4. Step 4: Simplify right side
    3,509.94x = 7,509,329.47
  5. Step 5: Solve for x
    x = 7,509,329.47/3,509.94
  6. Step 6: Final answer
    x = 2,139.44

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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.