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Finding the Fourth Proportional to 6,430.46, 8,871.58 and 3,911.61

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Solution

The fourth proportional to 6,430.46, 8,871.58 and 3,911.61 is: 5,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.46 : 8,871.58 = 3,911.61 : x
  2. Step 2: Convert to fraction form
    6,430.46/8,871.58 = 3,911.61/x
  3. Step 3: Cross multiply
    6,430.46x = 8,871.58 × 3,911.61
  4. Step 4: Simplify right side
    6,430.46x = 34,702,127.30
  5. Step 5: Solve for x
    x = 34,702,127.30/6,430.46
  6. Step 6: Final answer
    x = 5,396.53

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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.