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Finding the Fourth Proportional to 4,678.86, 7,016.18 and 1,346.36

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Solution

The fourth proportional to 4,678.86, 7,016.18 and 1,346.36 is: 2,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.86 : 7,016.18 = 1,346.36 : x
  2. Step 2: Convert to fraction form
    4,678.86/7,016.18 = 1,346.36/x
  3. Step 3: Cross multiply
    4,678.86x = 7,016.18 × 1,346.36
  4. Step 4: Simplify right side
    4,678.86x = 9,446,304.10
  5. Step 5: Solve for x
    x = 9,446,304.10/4,678.86
  6. Step 6: Final answer
    x = 2,018.93

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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.