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Finding the Fourth Proportional to 4,681.80, 6,462.36 and 2,794.77

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Solution

The fourth proportional to 4,681.80, 6,462.36 and 2,794.77 is: 3,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.80 : 6,462.36 = 2,794.77 : x
  2. Step 2: Convert to fraction form
    4,681.80/6,462.36 = 2,794.77/x
  3. Step 3: Cross multiply
    4,681.80x = 6,462.36 × 2,794.77
  4. Step 4: Simplify right side
    4,681.80x = 18,060,809.86
  5. Step 5: Solve for x
    x = 18,060,809.86/4,681.80
  6. Step 6: Final answer
    x = 3,857.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.