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Finding the Fourth Proportional to 4,798.16, 7,187.64 and 3,812.62

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Solution

The fourth proportional to 4,798.16, 7,187.64 and 3,812.62 is: 5,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.16 : 7,187.64 = 3,812.62 : x
  2. Step 2: Convert to fraction form
    4,798.16/7,187.64 = 3,812.62/x
  3. Step 3: Cross multiply
    4,798.16x = 7,187.64 × 3,812.62
  4. Step 4: Simplify right side
    4,798.16x = 27,403,740.02
  5. Step 5: Solve for x
    x = 27,403,740.02/4,798.16
  6. Step 6: Final answer
    x = 5,711.30

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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.