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Finding the Fourth Proportional to 5,922.72, 8,875.44 and 4,689.36

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Solution

The fourth proportional to 5,922.72, 8,875.44 and 4,689.36 is: 7,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.72 : 8,875.44 = 4,689.36 : x
  2. Step 2: Convert to fraction form
    5,922.72/8,875.44 = 4,689.36/x
  3. Step 3: Cross multiply
    5,922.72x = 8,875.44 × 4,689.36
  4. Step 4: Simplify right side
    5,922.72x = 41,620,133.32
  5. Step 5: Solve for x
    x = 41,620,133.32/5,922.72
  6. Step 6: Final answer
    x = 7,027.20

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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.