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Finding the Fourth Proportional to 7,900.95, 11,849.27 and 2,970.21

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Solution

The fourth proportional to 7,900.95, 11,849.27 and 2,970.21 is: 4,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.95 : 11,849.27 = 2,970.21 : x
  2. Step 2: Convert to fraction form
    7,900.95/11,849.27 = 2,970.21/x
  3. Step 3: Cross multiply
    7,900.95x = 11,849.27 × 2,970.21
  4. Step 4: Simplify right side
    7,900.95x = 35,194,805.40
  5. Step 5: Solve for x
    x = 35,194,805.40/7,900.95
  6. Step 6: Final answer
    x = 4,454.50

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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.