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Finding the Fourth Proportional to 4,892.63, 7,322.01 and 3,017.76

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Solution

The fourth proportional to 4,892.63, 7,322.01 and 3,017.76 is: 4,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.63 : 7,322.01 = 3,017.76 : x
  2. Step 2: Convert to fraction form
    4,892.63/7,322.01 = 3,017.76/x
  3. Step 3: Cross multiply
    4,892.63x = 7,322.01 × 3,017.76
  4. Step 4: Simplify right side
    4,892.63x = 22,096,068.90
  5. Step 5: Solve for x
    x = 22,096,068.90/4,892.63
  6. Step 6: Final answer
    x = 4,516.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.