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Finding the Fourth Proportional to 5,566.40, 8,344.08 and 3,102.40

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Solution

The fourth proportional to 5,566.40, 8,344.08 and 3,102.40 is: 4,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.40 : 8,344.08 = 3,102.40 : x
  2. Step 2: Convert to fraction form
    5,566.40/8,344.08 = 3,102.40/x
  3. Step 3: Cross multiply
    5,566.40x = 8,344.08 × 3,102.40
  4. Step 4: Simplify right side
    5,566.40x = 25,886,673.79
  5. Step 5: Solve for x
    x = 25,886,673.79/5,566.40
  6. Step 6: Final answer
    x = 4,650.52

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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.