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Finding the Fourth Proportional to 5,663.77, 7,813.85 and 4,175.24

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Solution

The fourth proportional to 5,663.77, 7,813.85 and 4,175.24 is: 5,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.77 : 7,813.85 = 4,175.24 : x
  2. Step 2: Convert to fraction form
    5,663.77/7,813.85 = 4,175.24/x
  3. Step 3: Cross multiply
    5,663.77x = 7,813.85 × 4,175.24
  4. Step 4: Simplify right side
    5,663.77x = 32,624,639.13
  5. Step 5: Solve for x
    x = 32,624,639.13/5,663.77
  6. Step 6: Final answer
    x = 5,760.24

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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.