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Finding the Fourth Proportional to 4,560.95, 6,295.29 and 2,971.95

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Solution

The fourth proportional to 4,560.95, 6,295.29 and 2,971.95 is: 4,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.95 : 6,295.29 = 2,971.95 : x
  2. Step 2: Convert to fraction form
    4,560.95/6,295.29 = 2,971.95/x
  3. Step 3: Cross multiply
    4,560.95x = 6,295.29 × 2,971.95
  4. Step 4: Simplify right side
    4,560.95x = 18,709,287.12
  5. Step 5: Solve for x
    x = 18,709,287.12/4,560.95
  6. Step 6: Final answer
    x = 4,102.06

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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.