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Finding the Fourth Proportional to 5,655.41, 7,804.67 and 3,416.85

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Solution

The fourth proportional to 5,655.41, 7,804.67 and 3,416.85 is: 4,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.41 : 7,804.67 = 3,416.85 : x
  2. Step 2: Convert to fraction form
    5,655.41/7,804.67 = 3,416.85/x
  3. Step 3: Cross multiply
    5,655.41x = 7,804.67 × 3,416.85
  4. Step 4: Simplify right side
    5,655.41x = 26,667,436.17
  5. Step 5: Solve for x
    x = 26,667,436.17/5,655.41
  6. Step 6: Final answer
    x = 4,715.38

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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.