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Finding the Fourth Proportional to 5,911.29, 8,866.94 and 5,615.66

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Solution

The fourth proportional to 5,911.29, 8,866.94 and 5,615.66 is: 8,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.29 : 8,866.94 = 5,615.66 : x
  2. Step 2: Convert to fraction form
    5,911.29/8,866.94 = 5,615.66/x
  3. Step 3: Cross multiply
    5,911.29x = 8,866.94 × 5,615.66
  4. Step 4: Simplify right side
    5,911.29x = 49,793,714.37
  5. Step 5: Solve for x
    x = 49,793,714.37/5,911.29
  6. Step 6: Final answer
    x = 8,423.50

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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.