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Finding the Fourth Proportional to 4,703.40, 6,491.24 and 2,814.95

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Solution

The fourth proportional to 4,703.40, 6,491.24 and 2,814.95 is: 3,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.40 : 6,491.24 = 2,814.95 : x
  2. Step 2: Convert to fraction form
    4,703.40/6,491.24 = 2,814.95/x
  3. Step 3: Cross multiply
    4,703.40x = 6,491.24 × 2,814.95
  4. Step 4: Simplify right side
    4,703.40x = 18,272,469.51
  5. Step 5: Solve for x
    x = 18,272,469.51/4,703.40
  6. Step 6: Final answer
    x = 3,884.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.