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Finding the Fourth Proportional to 4,677.52, 6,995.64 and 4,161.16

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Solution

The fourth proportional to 4,677.52, 6,995.64 and 4,161.16 is: 6,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.52 : 6,995.64 = 4,161.16 : x
  2. Step 2: Convert to fraction form
    4,677.52/6,995.64 = 4,161.16/x
  3. Step 3: Cross multiply
    4,677.52x = 6,995.64 × 4,161.16
  4. Step 4: Simplify right side
    4,677.52x = 29,109,977.34
  5. Step 5: Solve for x
    x = 29,109,977.34/4,677.52
  6. Step 6: Final answer
    x = 6,223.38

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