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Finding the Fourth Proportional to 3,670.76, 5,066.98 and 2,429.16

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Solution

The fourth proportional to 3,670.76, 5,066.98 and 2,429.16 is: 3,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.76 : 5,066.98 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    3,670.76/5,066.98 = 2,429.16/x
  3. Step 3: Cross multiply
    3,670.76x = 5,066.98 × 2,429.16
  4. Step 4: Simplify right side
    3,670.76x = 12,308,505.14
  5. Step 5: Solve for x
    x = 12,308,505.14/3,670.76
  6. Step 6: Final answer
    x = 3,353.12

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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.