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Finding the Fourth Proportional to 4,710.16, 6,497.16 and 3,116.80

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Solution

The fourth proportional to 4,710.16, 6,497.16 and 3,116.80 is: 4,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.16 : 6,497.16 = 3,116.80 : x
  2. Step 2: Convert to fraction form
    4,710.16/6,497.16 = 3,116.80/x
  3. Step 3: Cross multiply
    4,710.16x = 6,497.16 × 3,116.80
  4. Step 4: Simplify right side
    4,710.16x = 20,250,348.29
  5. Step 5: Solve for x
    x = 20,250,348.29/4,710.16
  6. Step 6: Final answer
    x = 4,299.29

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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.