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Finding the Fourth Proportional to 4,970.99, 6,860.12 and 2,846.53

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Solution

The fourth proportional to 4,970.99, 6,860.12 and 2,846.53 is: 3,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.99 : 6,860.12 = 2,846.53 : x
  2. Step 2: Convert to fraction form
    4,970.99/6,860.12 = 2,846.53/x
  3. Step 3: Cross multiply
    4,970.99x = 6,860.12 × 2,846.53
  4. Step 4: Simplify right side
    4,970.99x = 19,527,537.38
  5. Step 5: Solve for x
    x = 19,527,537.38/4,970.99
  6. Step 6: Final answer
    x = 3,928.30

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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.