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Finding the Fourth Proportional to 4,725.69, 6,507.06 and 3,730.62

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Solution

The fourth proportional to 4,725.69, 6,507.06 and 3,730.62 is: 5,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.69 : 6,507.06 = 3,730.62 : x
  2. Step 2: Convert to fraction form
    4,725.69/6,507.06 = 3,730.62/x
  3. Step 3: Cross multiply
    4,725.69x = 6,507.06 × 3,730.62
  4. Step 4: Simplify right side
    4,725.69x = 24,275,368.18
  5. Step 5: Solve for x
    x = 24,275,368.18/4,725.69
  6. Step 6: Final answer
    x = 5,136.89

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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.