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Finding the Fourth Proportional to 6,401.64, 8,833.62 and 3,748.53

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Solution

The fourth proportional to 6,401.64, 8,833.62 and 3,748.53 is: 5,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.64 : 8,833.62 = 3,748.53 : x
  2. Step 2: Convert to fraction form
    6,401.64/8,833.62 = 3,748.53/x
  3. Step 3: Cross multiply
    6,401.64x = 8,833.62 × 3,748.53
  4. Step 4: Simplify right side
    6,401.64x = 33,113,089.58
  5. Step 5: Solve for x
    x = 33,113,089.58/6,401.64
  6. Step 6: Final answer
    x = 5,172.59

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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.