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Finding the Fourth Proportional to 6,311.64, 8,710 and 3,479.13

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Solution

The fourth proportional to 6,311.64, 8,710 and 3,479.13 is: 4,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.64 : 8,710 = 3,479.13 : x
  2. Step 2: Convert to fraction form
    6,311.64/8,710 = 3,479.13/x
  3. Step 3: Cross multiply
    6,311.64x = 8,710 × 3,479.13
  4. Step 4: Simplify right side
    6,311.64x = 30,303,222.30
  5. Step 5: Solve for x
    x = 30,303,222.30/6,311.64
  6. Step 6: Final answer
    x = 4,801.16

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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.