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Finding the Fourth Proportional to 5,639.07, 7,782.65 and 3,402.16

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Solution

The fourth proportional to 5,639.07, 7,782.65 and 3,402.16 is: 4,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.07 : 7,782.65 = 3,402.16 : x
  2. Step 2: Convert to fraction form
    5,639.07/7,782.65 = 3,402.16/x
  3. Step 3: Cross multiply
    5,639.07x = 7,782.65 × 3,402.16
  4. Step 4: Simplify right side
    5,639.07x = 26,477,796.81
  5. Step 5: Solve for x
    x = 26,477,796.81/5,639.07
  6. Step 6: Final answer
    x = 4,695.42

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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.