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Finding the Fourth Proportional to 4,507.70, 6,776.13 and 4,047.62

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Solution

The fourth proportional to 4,507.70, 6,776.13 and 4,047.62 is: 6,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.70 : 6,776.13 = 4,047.62 : x
  2. Step 2: Convert to fraction form
    4,507.70/6,776.13 = 4,047.62/x
  3. Step 3: Cross multiply
    4,507.70x = 6,776.13 × 4,047.62
  4. Step 4: Simplify right side
    4,507.70x = 27,427,199.31
  5. Step 5: Solve for x
    x = 27,427,199.31/4,507.70
  6. Step 6: Final answer
    x = 6,084.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.