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Finding the Fourth Proportional to 4,402.18, 6,566.17 and 4,096.00

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Solution

The fourth proportional to 4,402.18, 6,566.17 and 4,096.00 is: 6,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.18 : 6,566.17 = 4,096.00 : x
  2. Step 2: Convert to fraction form
    4,402.18/6,566.17 = 4,096.00/x
  3. Step 3: Cross multiply
    4,402.18x = 6,566.17 × 4,096.00
  4. Step 4: Simplify right side
    4,402.18x = 26,894,979.01
  5. Step 5: Solve for x
    x = 26,894,979.01/4,402.18
  6. Step 6: Final answer
    x = 6,109.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.