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Finding the Fourth Proportional to 5,486.32, 8,210.04 and 4,838.32

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Solution

The fourth proportional to 5,486.32, 8,210.04 and 4,838.32 is: 7,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.32 : 8,210.04 = 4,838.32 : x
  2. Step 2: Convert to fraction form
    5,486.32/8,210.04 = 4,838.32/x
  3. Step 3: Cross multiply
    5,486.32x = 8,210.04 × 4,838.32
  4. Step 4: Simplify right side
    5,486.32x = 39,722,800.73
  5. Step 5: Solve for x
    x = 39,722,800.73/5,486.32
  6. Step 6: Final answer
    x = 7,240.34

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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.