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Finding the Fourth Proportional to 4,334.22, 6,501.60 and 1,737.14

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Solution

The fourth proportional to 4,334.22, 6,501.60 and 1,737.14 is: 2,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.22 : 6,501.60 = 1,737.14 : x
  2. Step 2: Convert to fraction form
    4,334.22/6,501.60 = 1,737.14/x
  3. Step 3: Cross multiply
    4,334.22x = 6,501.60 × 1,737.14
  4. Step 4: Simplify right side
    4,334.22x = 11,294,156.92
  5. Step 5: Solve for x
    x = 11,294,156.92/4,334.22
  6. Step 6: Final answer
    x = 2,605.81

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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.