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Finding the Fourth Proportional to 5,637.40, 8,464.20 and 4,406.20

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Solution

The fourth proportional to 5,637.40, 8,464.20 and 4,406.20 is: 6,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.40 : 8,464.20 = 4,406.20 : x
  2. Step 2: Convert to fraction form
    5,637.40/8,464.20 = 4,406.20/x
  3. Step 3: Cross multiply
    5,637.40x = 8,464.20 × 4,406.20
  4. Step 4: Simplify right side
    5,637.40x = 37,294,958.04
  5. Step 5: Solve for x
    x = 37,294,958.04/5,637.40
  6. Step 6: Final answer
    x = 6,615.63

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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.