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Finding the Fourth Proportional to 3,658.42, 5,486.65 and 1,025.77

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Solution

The fourth proportional to 3,658.42, 5,486.65 and 1,025.77 is: 1,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.42 : 5,486.65 = 1,025.77 : x
  2. Step 2: Convert to fraction form
    3,658.42/5,486.65 = 1,025.77/x
  3. Step 3: Cross multiply
    3,658.42x = 5,486.65 × 1,025.77
  4. Step 4: Simplify right side
    3,658.42x = 5,628,040.97
  5. Step 5: Solve for x
    x = 5,628,040.97/3,658.42
  6. Step 6: Final answer
    x = 1,538.38

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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.