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Finding the Fourth Proportional to 5,356.67, 7,384.46 and 3,675.45

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Solution

The fourth proportional to 5,356.67, 7,384.46 and 3,675.45 is: 5,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.67 : 7,384.46 = 3,675.45 : x
  2. Step 2: Convert to fraction form
    5,356.67/7,384.46 = 3,675.45/x
  3. Step 3: Cross multiply
    5,356.67x = 7,384.46 × 3,675.45
  4. Step 4: Simplify right side
    5,356.67x = 27,141,195.13
  5. Step 5: Solve for x
    x = 27,141,195.13/5,356.67
  6. Step 6: Final answer
    x = 5,066.80

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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.