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Finding the Fourth Proportional to 3,658.77, 5,486.57 and 1,159.35

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Solution

The fourth proportional to 3,658.77, 5,486.57 and 1,159.35 is: 1,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.77 : 5,486.57 = 1,159.35 : x
  2. Step 2: Convert to fraction form
    3,658.77/5,486.57 = 1,159.35/x
  3. Step 3: Cross multiply
    3,658.77x = 5,486.57 × 1,159.35
  4. Step 4: Simplify right side
    3,658.77x = 6,360,832.91
  5. Step 5: Solve for x
    x = 6,360,832.91/3,658.77
  6. Step 6: Final answer
    x = 1,738.52

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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.