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Finding the Fourth Proportional to 3,464.46, 5,126.04 and 3,454.74

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Solution

The fourth proportional to 3,464.46, 5,126.04 and 3,454.74 is: 5,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.46 : 5,126.04 = 3,454.74 : x
  2. Step 2: Convert to fraction form
    3,464.46/5,126.04 = 3,454.74/x
  3. Step 3: Cross multiply
    3,464.46x = 5,126.04 × 3,454.74
  4. Step 4: Simplify right side
    3,464.46x = 17,709,135.43
  5. Step 5: Solve for x
    x = 17,709,135.43/3,464.46
  6. Step 6: Final answer
    x = 5,111.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.