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Finding the Fourth Proportional to 5,566.25, 7,678.23 and 3,678.14

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Solution

The fourth proportional to 5,566.25, 7,678.23 and 3,678.14 is: 5,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.25 : 7,678.23 = 3,678.14 : x
  2. Step 2: Convert to fraction form
    5,566.25/7,678.23 = 3,678.14/x
  3. Step 3: Cross multiply
    5,566.25x = 7,678.23 × 3,678.14
  4. Step 4: Simplify right side
    5,566.25x = 28,241,566.50
  5. Step 5: Solve for x
    x = 28,241,566.50/5,566.25
  6. Step 6: Final answer
    x = 5,073.72

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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.