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Finding the Fourth Proportional to 5,657.03, 7,806.75 and 3,139.31

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Solution

The fourth proportional to 5,657.03, 7,806.75 and 3,139.31 is: 4,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.03 : 7,806.75 = 3,139.31 : x
  2. Step 2: Convert to fraction form
    5,657.03/7,806.75 = 3,139.31/x
  3. Step 3: Cross multiply
    5,657.03x = 7,806.75 × 3,139.31
  4. Step 4: Simplify right side
    5,657.03x = 24,507,808.34
  5. Step 5: Solve for x
    x = 24,507,808.34/5,657.03
  6. Step 6: Final answer
    x = 4,332.27

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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.