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Finding the Fourth Proportional to 3,693.68, 5,088.14 and 3,506.06

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Solution

The fourth proportional to 3,693.68, 5,088.14 and 3,506.06 is: 4,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.68 : 5,088.14 = 3,506.06 : x
  2. Step 2: Convert to fraction form
    3,693.68/5,088.14 = 3,506.06/x
  3. Step 3: Cross multiply
    3,693.68x = 5,088.14 × 3,506.06
  4. Step 4: Simplify right side
    3,693.68x = 17,839,324.13
  5. Step 5: Solve for x
    x = 17,839,324.13/3,693.68
  6. Step 6: Final answer
    x = 4,829.69

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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.