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Finding the Fourth Proportional to 5,827.60, 8,042.09 and 3,175.00

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Solution

The fourth proportional to 5,827.60, 8,042.09 and 3,175.00 is: 4,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.60 : 8,042.09 = 3,175.00 : x
  2. Step 2: Convert to fraction form
    5,827.60/8,042.09 = 3,175.00/x
  3. Step 3: Cross multiply
    5,827.60x = 8,042.09 × 3,175.00
  4. Step 4: Simplify right side
    5,827.60x = 25,533,599.77
  5. Step 5: Solve for x
    x = 25,533,599.77/5,827.60
  6. Step 6: Final answer
    x = 4,381.50

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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.