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Finding the Fourth Proportional to 4,461.48, 6,678.25 and 3,066.66

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Solution

The fourth proportional to 4,461.48, 6,678.25 and 3,066.66 is: 4,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.48 : 6,678.25 = 3,066.66 : x
  2. Step 2: Convert to fraction form
    4,461.48/6,678.25 = 3,066.66/x
  3. Step 3: Cross multiply
    4,461.48x = 6,678.25 × 3,066.66
  4. Step 4: Simplify right side
    4,461.48x = 20,479,914.48
  5. Step 5: Solve for x
    x = 20,479,914.48/4,461.48
  6. Step 6: Final answer
    x = 4,590.39

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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.