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Finding the Fourth Proportional to 4,705.64, 7,057.66 and 1,243.24

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Solution

The fourth proportional to 4,705.64, 7,057.66 and 1,243.24 is: 1,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.64 : 7,057.66 = 1,243.24 : x
  2. Step 2: Convert to fraction form
    4,705.64/7,057.66 = 1,243.24/x
  3. Step 3: Cross multiply
    4,705.64x = 7,057.66 × 1,243.24
  4. Step 4: Simplify right side
    4,705.64x = 8,774,365.22
  5. Step 5: Solve for x
    x = 8,774,365.22/4,705.64
  6. Step 6: Final answer
    x = 1,864.65

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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.