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Finding the Fourth Proportional to 5,304.48, 7,319.46 and 3,066

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Solution

The fourth proportional to 5,304.48, 7,319.46 and 3,066 is: 4,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.48 : 7,319.46 = 3,066 : x
  2. Step 2: Convert to fraction form
    5,304.48/7,319.46 = 3,066/x
  3. Step 3: Cross multiply
    5,304.48x = 7,319.46 × 3,066
  4. Step 4: Simplify right side
    5,304.48x = 22,441,464.36
  5. Step 5: Solve for x
    x = 22,441,464.36/5,304.48
  6. Step 6: Final answer
    x = 4,230.66

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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.