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Finding the Fourth Proportional to 5,048.24, 6,966.72 and 2,810.24

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Solution

The fourth proportional to 5,048.24, 6,966.72 and 2,810.24 is: 3,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.24 : 6,966.72 = 2,810.24 : x
  2. Step 2: Convert to fraction form
    5,048.24/6,966.72 = 2,810.24/x
  3. Step 3: Cross multiply
    5,048.24x = 6,966.72 × 2,810.24
  4. Step 4: Simplify right side
    5,048.24x = 19,578,155.21
  5. Step 5: Solve for x
    x = 19,578,155.21/5,048.24
  6. Step 6: Final answer
    x = 3,878.21

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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.