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Finding the Fourth Proportional to 6,356.61, 8,767.44 and 3,703.86

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Solution

The fourth proportional to 6,356.61, 8,767.44 and 3,703.86 is: 5,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.61 : 8,767.44 = 3,703.86 : x
  2. Step 2: Convert to fraction form
    6,356.61/8,767.44 = 3,703.86/x
  3. Step 3: Cross multiply
    6,356.61x = 8,767.44 × 3,703.86
  4. Step 4: Simplify right side
    6,356.61x = 32,473,370.32
  5. Step 5: Solve for x
    x = 32,473,370.32/6,356.61
  6. Step 6: Final answer
    x = 5,108.60

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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.