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Finding the Fourth Proportional to 5,066.46, 7,599.64 and 1,603.71

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Solution

The fourth proportional to 5,066.46, 7,599.64 and 1,603.71 is: 2,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.46 : 7,599.64 = 1,603.71 : x
  2. Step 2: Convert to fraction form
    5,066.46/7,599.64 = 1,603.71/x
  3. Step 3: Cross multiply
    5,066.46x = 7,599.64 × 1,603.71
  4. Step 4: Simplify right side
    5,066.46x = 12,187,618.66
  5. Step 5: Solve for x
    x = 12,187,618.66/5,066.46
  6. Step 6: Final answer
    x = 2,405.55

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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.