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Finding the Fourth Proportional to 5,506.92, 8,262 and 2,911.68

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Solution

The fourth proportional to 5,506.92, 8,262 and 2,911.68 is: 4,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.92 : 8,262 = 2,911.68 : x
  2. Step 2: Convert to fraction form
    5,506.92/8,262 = 2,911.68/x
  3. Step 3: Cross multiply
    5,506.92x = 8,262 × 2,911.68
  4. Step 4: Simplify right side
    5,506.92x = 24,056,300.16
  5. Step 5: Solve for x
    x = 24,056,300.16/5,506.92
  6. Step 6: Final answer
    x = 4,368.38

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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.