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Finding the Fourth Proportional to 5,639.52, 7,782.84 and 3,544.32

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Solution

The fourth proportional to 5,639.52, 7,782.84 and 3,544.32 is: 4,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.52 : 7,782.84 = 3,544.32 : x
  2. Step 2: Convert to fraction form
    5,639.52/7,782.84 = 3,544.32/x
  3. Step 3: Cross multiply
    5,639.52x = 7,782.84 × 3,544.32
  4. Step 4: Simplify right side
    5,639.52x = 27,584,875.47
  5. Step 5: Solve for x
    x = 27,584,875.47/5,639.52
  6. Step 6: Final answer
    x = 4,891.35

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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.