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Finding the Fourth Proportional to 5,671.10, 8,506.61 and 2,208.35

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Solution

The fourth proportional to 5,671.10, 8,506.61 and 2,208.35 is: 3,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.10 : 8,506.61 = 2,208.35 : x
  2. Step 2: Convert to fraction form
    5,671.10/8,506.61 = 2,208.35/x
  3. Step 3: Cross multiply
    5,671.10x = 8,506.61 × 2,208.35
  4. Step 4: Simplify right side
    5,671.10x = 18,785,518.62
  5. Step 5: Solve for x
    x = 18,785,518.62/5,671.10
  6. Step 6: Final answer
    x = 3,312.50

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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.