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Finding the Fourth Proportional to 5,827.76, 8,042.04 and 3,470.16

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Solution

The fourth proportional to 5,827.76, 8,042.04 and 3,470.16 is: 4,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.76 : 8,042.04 = 3,470.16 : x
  2. Step 2: Convert to fraction form
    5,827.76/8,042.04 = 3,470.16/x
  3. Step 3: Cross multiply
    5,827.76x = 8,042.04 × 3,470.16
  4. Step 4: Simplify right side
    5,827.76x = 27,907,165.53
  5. Step 5: Solve for x
    x = 27,907,165.53/5,827.76
  6. Step 6: Final answer
    x = 4,788.66

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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.