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Finding the Fourth Proportional to 5,735, 8,594.52 and 2,607.36

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Solution

The fourth proportional to 5,735, 8,594.52 and 2,607.36 is: 3,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735 : 8,594.52 = 2,607.36 : x
  2. Step 2: Convert to fraction form
    5,735/8,594.52 = 2,607.36/x
  3. Step 3: Cross multiply
    5,735x = 8,594.52 × 2,607.36
  4. Step 4: Simplify right side
    5,735x = 22,409,007.67
  5. Step 5: Solve for x
    x = 22,409,007.67/5,735
  6. Step 6: Final answer
    x = 3,907.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.