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Finding the Fourth Proportional to 5,047.82, 6,966.11 and 2,809.93

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Solution

The fourth proportional to 5,047.82, 6,966.11 and 2,809.93 is: 3,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.82 : 6,966.11 = 2,809.93 : x
  2. Step 2: Convert to fraction form
    5,047.82/6,966.11 = 2,809.93/x
  3. Step 3: Cross multiply
    5,047.82x = 6,966.11 × 2,809.93
  4. Step 4: Simplify right side
    5,047.82x = 19,574,281.47
  5. Step 5: Solve for x
    x = 19,574,281.47/5,047.82
  6. Step 6: Final answer
    x = 3,877.77

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Why These Related Problems?

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