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Finding the Fourth Proportional to 5,114.36, 7,670.79 and 1,416.84

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Solution

The fourth proportional to 5,114.36, 7,670.79 and 1,416.84 is: 2,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.36 : 7,670.79 = 1,416.84 : x
  2. Step 2: Convert to fraction form
    5,114.36/7,670.79 = 1,416.84/x
  3. Step 3: Cross multiply
    5,114.36x = 7,670.79 × 1,416.84
  4. Step 4: Simplify right side
    5,114.36x = 10,868,282.10
  5. Step 5: Solve for x
    x = 10,868,282.10/5,114.36
  6. Step 6: Final answer
    x = 2,125.05

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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.