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Finding the Fourth Proportional to 5,048.24, 6,966.95 and 2,810.68

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Solution

The fourth proportional to 5,048.24, 6,966.95 and 2,810.68 is: 3,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.24 : 6,966.95 = 2,810.68 : x
  2. Step 2: Convert to fraction form
    5,048.24/6,966.95 = 2,810.68/x
  3. Step 3: Cross multiply
    5,048.24x = 6,966.95 × 2,810.68
  4. Step 4: Simplify right side
    5,048.24x = 19,581,835.56
  5. Step 5: Solve for x
    x = 19,581,835.56/5,048.24
  6. Step 6: Final answer
    x = 3,878.95

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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.