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Finding the Fourth Proportional to 4,146.05, 6,219.65 and 1,513.21

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Solution

The fourth proportional to 4,146.05, 6,219.65 and 1,513.21 is: 2,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.05 : 6,219.65 = 1,513.21 : x
  2. Step 2: Convert to fraction form
    4,146.05/6,219.65 = 1,513.21/x
  3. Step 3: Cross multiply
    4,146.05x = 6,219.65 × 1,513.21
  4. Step 4: Simplify right side
    4,146.05x = 9,411,597.91
  5. Step 5: Solve for x
    x = 9,411,597.91/4,146.05
  6. Step 6: Final answer
    x = 2,270.02

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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.