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Finding the Fourth Proportional to 5,384.18, 7,433.78 and 4,815.24

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Solution

The fourth proportional to 5,384.18, 7,433.78 and 4,815.24 is: 6,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.18 : 7,433.78 = 4,815.24 : x
  2. Step 2: Convert to fraction form
    5,384.18/7,433.78 = 4,815.24/x
  3. Step 3: Cross multiply
    5,384.18x = 7,433.78 × 4,815.24
  4. Step 4: Simplify right side
    5,384.18x = 35,795,434.81
  5. Step 5: Solve for x
    x = 35,795,434.81/5,384.18
  6. Step 6: Final answer
    x = 6,648.26

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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.