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Finding the Fourth Proportional to 6,187.34, 8,538.64 and 3,392.66

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Solution

The fourth proportional to 6,187.34, 8,538.64 and 3,392.66 is: 4,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.34 : 8,538.64 = 3,392.66 : x
  2. Step 2: Convert to fraction form
    6,187.34/8,538.64 = 3,392.66/x
  3. Step 3: Cross multiply
    6,187.34x = 8,538.64 × 3,392.66
  4. Step 4: Simplify right side
    6,187.34x = 28,968,702.38
  5. Step 5: Solve for x
    x = 28,968,702.38/6,187.34
  6. Step 6: Final answer
    x = 4,681.93

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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.