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Finding the Fourth Proportional to 4,340.36, 6,502.98 and 3,614.60

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Solution

The fourth proportional to 4,340.36, 6,502.98 and 3,614.60 is: 5,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.36 : 6,502.98 = 3,614.60 : x
  2. Step 2: Convert to fraction form
    4,340.36/6,502.98 = 3,614.60/x
  3. Step 3: Cross multiply
    4,340.36x = 6,502.98 × 3,614.60
  4. Step 4: Simplify right side
    4,340.36x = 23,505,671.51
  5. Step 5: Solve for x
    x = 23,505,671.51/4,340.36
  6. Step 6: Final answer
    x = 5,415.60

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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.