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Finding the Fourth Proportional to 5,396.69, 7,448.54 and 3,405.91

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Solution

The fourth proportional to 5,396.69, 7,448.54 and 3,405.91 is: 4,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.69 : 7,448.54 = 3,405.91 : x
  2. Step 2: Convert to fraction form
    5,396.69/7,448.54 = 3,405.91/x
  3. Step 3: Cross multiply
    5,396.69x = 7,448.54 × 3,405.91
  4. Step 4: Simplify right side
    5,396.69x = 25,369,056.87
  5. Step 5: Solve for x
    x = 25,369,056.87/5,396.69
  6. Step 6: Final answer
    x = 4,700.85

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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.