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Finding the Fourth Proportional to 5,369.77, 7,412.90 and 4,807.98

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Solution

The fourth proportional to 5,369.77, 7,412.90 and 4,807.98 is: 6,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.77 : 7,412.90 = 4,807.98 : x
  2. Step 2: Convert to fraction form
    5,369.77/7,412.90 = 4,807.98/x
  3. Step 3: Cross multiply
    5,369.77x = 7,412.90 × 4,807.98
  4. Step 4: Simplify right side
    5,369.77x = 35,641,119.08
  5. Step 5: Solve for x
    x = 35,641,119.08/5,369.77
  6. Step 6: Final answer
    x = 6,637.37

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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.