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Finding the Fourth Proportional to 4,710.66, 6,506.17 and 3,136.02

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Solution

The fourth proportional to 4,710.66, 6,506.17 and 3,136.02 is: 4,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.66 : 6,506.17 = 3,136.02 : x
  2. Step 2: Convert to fraction form
    4,710.66/6,506.17 = 3,136.02/x
  3. Step 3: Cross multiply
    4,710.66x = 6,506.17 × 3,136.02
  4. Step 4: Simplify right side
    4,710.66x = 20,403,464.65
  5. Step 5: Solve for x
    x = 20,403,464.65/4,710.66
  6. Step 6: Final answer
    x = 4,331.34

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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.