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Finding the Fourth Proportional to 5,221.01, 7,165.04 and 5,184.10

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Solution

The fourth proportional to 5,221.01, 7,165.04 and 5,184.10 is: 7,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.01 : 7,165.04 = 5,184.10 : x
  2. Step 2: Convert to fraction form
    5,221.01/7,165.04 = 5,184.10/x
  3. Step 3: Cross multiply
    5,221.01x = 7,165.04 × 5,184.10
  4. Step 4: Simplify right side
    5,221.01x = 37,144,283.86
  5. Step 5: Solve for x
    x = 37,144,283.86/5,221.01
  6. Step 6: Final answer
    x = 7,114.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.