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Finding the Fourth Proportional to 5,633.14, 7,774.70 and 3,276.66

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Solution

The fourth proportional to 5,633.14, 7,774.70 and 3,276.66 is: 4,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.14 : 7,774.70 = 3,276.66 : x
  2. Step 2: Convert to fraction form
    5,633.14/7,774.70 = 3,276.66/x
  3. Step 3: Cross multiply
    5,633.14x = 7,774.70 × 3,276.66
  4. Step 4: Simplify right side
    5,633.14x = 25,475,048.50
  5. Step 5: Solve for x
    x = 25,475,048.50/5,633.14
  6. Step 6: Final answer
    x = 4,522.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.