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Finding the Fourth Proportional to 5,827.42, 8,041.88 and 3,309.58

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Solution

The fourth proportional to 5,827.42, 8,041.88 and 3,309.58 is: 4,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.42 : 8,041.88 = 3,309.58 : x
  2. Step 2: Convert to fraction form
    5,827.42/8,041.88 = 3,309.58/x
  3. Step 3: Cross multiply
    5,827.42x = 8,041.88 × 3,309.58
  4. Step 4: Simplify right side
    5,827.42x = 26,615,233.38
  5. Step 5: Solve for x
    x = 26,615,233.38/5,827.42
  6. Step 6: Final answer
    x = 4,567.24

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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.