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Finding the Fourth Proportional to 3,814.02, 5,686.29 and 3,717.99

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Solution

The fourth proportional to 3,814.02, 5,686.29 and 3,717.99 is: 5,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.02 : 5,686.29 = 3,717.99 : x
  2. Step 2: Convert to fraction form
    3,814.02/5,686.29 = 3,717.99/x
  3. Step 3: Cross multiply
    3,814.02x = 5,686.29 × 3,717.99
  4. Step 4: Simplify right side
    3,814.02x = 21,141,569.36
  5. Step 5: Solve for x
    x = 21,141,569.36/3,814.02
  6. Step 6: Final answer
    x = 5,543.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.