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Finding the Fourth Proportional to 5,639.58, 7,790.07 and 4,329.48

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Solution

The fourth proportional to 5,639.58, 7,790.07 and 4,329.48 is: 5,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.58 : 7,790.07 = 4,329.48 : x
  2. Step 2: Convert to fraction form
    5,639.58/7,790.07 = 4,329.48/x
  3. Step 3: Cross multiply
    5,639.58x = 7,790.07 × 4,329.48
  4. Step 4: Simplify right side
    5,639.58x = 33,726,952.26
  5. Step 5: Solve for x
    x = 33,726,952.26/5,639.58
  6. Step 6: Final answer
    x = 5,980.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.