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Finding the Fourth Proportional to 5,641.30, 7,782.51 and 3,403.27

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Solution

The fourth proportional to 5,641.30, 7,782.51 and 3,403.27 is: 4,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.30 : 7,782.51 = 3,403.27 : x
  2. Step 2: Convert to fraction form
    5,641.30/7,782.51 = 3,403.27/x
  3. Step 3: Cross multiply
    5,641.30x = 7,782.51 × 3,403.27
  4. Step 4: Simplify right side
    5,641.30x = 26,485,982.81
  5. Step 5: Solve for x
    x = 26,485,982.81/5,641.30
  6. Step 6: Final answer
    x = 4,695.01

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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.