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Finding the Fourth Proportional to 4,681.87, 7,022.76 and 1,395

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Solution

The fourth proportional to 4,681.87, 7,022.76 and 1,395 is: 2,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.87 : 7,022.76 = 1,395 : x
  2. Step 2: Convert to fraction form
    4,681.87/7,022.76 = 1,395/x
  3. Step 3: Cross multiply
    4,681.87x = 7,022.76 × 1,395
  4. Step 4: Simplify right side
    4,681.87x = 9,796,750.20
  5. Step 5: Solve for x
    x = 9,796,750.20/4,681.87
  6. Step 6: Final answer
    x = 2,092.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.