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Finding the Fourth Proportional to 3,670.17, 5,506.47 and 2,284.47

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Solution

The fourth proportional to 3,670.17, 5,506.47 and 2,284.47 is: 3,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.17 : 5,506.47 = 2,284.47 : x
  2. Step 2: Convert to fraction form
    3,670.17/5,506.47 = 2,284.47/x
  3. Step 3: Cross multiply
    3,670.17x = 5,506.47 × 2,284.47
  4. Step 4: Simplify right side
    3,670.17x = 12,579,365.52
  5. Step 5: Solve for x
    x = 12,579,365.52/3,670.17
  6. Step 6: Final answer
    x = 3,427.46

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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.