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Finding the Fourth Proportional to 4,712.10, 7,066.80 and 1,424.40

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Solution

The fourth proportional to 4,712.10, 7,066.80 and 1,424.40 is: 2,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.10 : 7,066.80 = 1,424.40 : x
  2. Step 2: Convert to fraction form
    4,712.10/7,066.80 = 1,424.40/x
  3. Step 3: Cross multiply
    4,712.10x = 7,066.80 × 1,424.40
  4. Step 4: Simplify right side
    4,712.10x = 10,065,949.92
  5. Step 5: Solve for x
    x = 10,065,949.92/4,712.10
  6. Step 6: Final answer
    x = 2,136.19

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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.