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Finding the Fourth Proportional to 5,707.78, 8,574.05 and 4,832.07

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Solution

The fourth proportional to 5,707.78, 8,574.05 and 4,832.07 is: 7,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.78 : 8,574.05 = 4,832.07 : x
  2. Step 2: Convert to fraction form
    5,707.78/8,574.05 = 4,832.07/x
  3. Step 3: Cross multiply
    5,707.78x = 8,574.05 × 4,832.07
  4. Step 4: Simplify right side
    5,707.78x = 41,430,437.94
  5. Step 5: Solve for x
    x = 41,430,437.94/5,707.78
  6. Step 6: Final answer
    x = 7,258.59

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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.