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Finding the Fourth Proportional to 4,817.61, 6,646.43 and 3,024.32

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Solution

The fourth proportional to 4,817.61, 6,646.43 and 3,024.32 is: 4,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.61 : 6,646.43 = 3,024.32 : x
  2. Step 2: Convert to fraction form
    4,817.61/6,646.43 = 3,024.32/x
  3. Step 3: Cross multiply
    4,817.61x = 6,646.43 × 3,024.32
  4. Step 4: Simplify right side
    4,817.61x = 20,100,962.43
  5. Step 5: Solve for x
    x = 20,100,962.43/4,817.61
  6. Step 6: Final answer
    x = 4,172.39

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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.