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Finding the Fourth Proportional to 3,651.32, 5,477.58 and 1,186.76

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Solution

The fourth proportional to 3,651.32, 5,477.58 and 1,186.76 is: 1,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.32 : 5,477.58 = 1,186.76 : x
  2. Step 2: Convert to fraction form
    3,651.32/5,477.58 = 1,186.76/x
  3. Step 3: Cross multiply
    3,651.32x = 5,477.58 × 1,186.76
  4. Step 4: Simplify right side
    3,651.32x = 6,500,572.84
  5. Step 5: Solve for x
    x = 6,500,572.84/3,651.32
  6. Step 6: Final answer
    x = 1,780.34

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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.