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Finding the Fourth Proportional to 5,876.64, 8,109 and 3,518.28

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Solution

The fourth proportional to 5,876.64, 8,109 and 3,518.28 is: 4,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.64 : 8,109 = 3,518.28 : x
  2. Step 2: Convert to fraction form
    5,876.64/8,109 = 3,518.28/x
  3. Step 3: Cross multiply
    5,876.64x = 8,109 × 3,518.28
  4. Step 4: Simplify right side
    5,876.64x = 28,529,732.52
  5. Step 5: Solve for x
    x = 28,529,732.52/5,876.64
  6. Step 6: Final answer
    x = 4,854.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.