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Finding the Fourth Proportional to 3,776.37, 5,658.15 and 2,312.46

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Solution

The fourth proportional to 3,776.37, 5,658.15 and 2,312.46 is: 3,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.37 : 5,658.15 = 2,312.46 : x
  2. Step 2: Convert to fraction form
    3,776.37/5,658.15 = 2,312.46/x
  3. Step 3: Cross multiply
    3,776.37x = 5,658.15 × 2,312.46
  4. Step 4: Simplify right side
    3,776.37x = 13,084,245.55
  5. Step 5: Solve for x
    x = 13,084,245.55/3,776.37
  6. Step 6: Final answer
    x = 3,464.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.