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Finding the Fourth Proportional to 4,652.88, 6,419.14 and 2,662.36

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Solution

The fourth proportional to 4,652.88, 6,419.14 and 2,662.36 is: 3,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.88 : 6,419.14 = 2,662.36 : x
  2. Step 2: Convert to fraction form
    4,652.88/6,419.14 = 2,662.36/x
  3. Step 3: Cross multiply
    4,652.88x = 6,419.14 × 2,662.36
  4. Step 4: Simplify right side
    4,652.88x = 17,090,061.57
  5. Step 5: Solve for x
    x = 17,090,061.57/4,652.88
  6. Step 6: Final answer
    x = 3,673.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.