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Finding the Fourth Proportional to 4,218.72, 6,330.72 and 2,029.70

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Solution

The fourth proportional to 4,218.72, 6,330.72 and 2,029.70 is: 3,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.72 : 6,330.72 = 2,029.70 : x
  2. Step 2: Convert to fraction form
    4,218.72/6,330.72 = 2,029.70/x
  3. Step 3: Cross multiply
    4,218.72x = 6,330.72 × 2,029.70
  4. Step 4: Simplify right side
    4,218.72x = 12,849,462.38
  5. Step 5: Solve for x
    x = 12,849,462.38/4,218.72
  6. Step 6: Final answer
    x = 3,045.82

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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.