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Finding the Fourth Proportional to 4,102.25, 5,664.06 and 3,703.14

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Solution

The fourth proportional to 4,102.25, 5,664.06 and 3,703.14 is: 5,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.25 : 5,664.06 = 3,703.14 : x
  2. Step 2: Convert to fraction form
    4,102.25/5,664.06 = 3,703.14/x
  3. Step 3: Cross multiply
    4,102.25x = 5,664.06 × 3,703.14
  4. Step 4: Simplify right side
    4,102.25x = 20,974,807.15
  5. Step 5: Solve for x
    x = 20,974,807.15/4,102.25
  6. Step 6: Final answer
    x = 5,113.01

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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.