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Finding the Fourth Proportional to 4,679.64, 7,021.10 and 1,758.40

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Solution

The fourth proportional to 4,679.64, 7,021.10 and 1,758.40 is: 2,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.64 : 7,021.10 = 1,758.40 : x
  2. Step 2: Convert to fraction form
    4,679.64/7,021.10 = 1,758.40/x
  3. Step 3: Cross multiply
    4,679.64x = 7,021.10 × 1,758.40
  4. Step 4: Simplify right side
    4,679.64x = 12,345,902.24
  5. Step 5: Solve for x
    x = 12,345,902.24/4,679.64
  6. Step 6: Final answer
    x = 2,638.22

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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.