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Finding the Fourth Proportional to 4,862.93, 7,295.00 and 1,941.26

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Solution

The fourth proportional to 4,862.93, 7,295.00 and 1,941.26 is: 2,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.93 : 7,295.00 = 1,941.26 : x
  2. Step 2: Convert to fraction form
    4,862.93/7,295.00 = 1,941.26/x
  3. Step 3: Cross multiply
    4,862.93x = 7,295.00 × 1,941.26
  4. Step 4: Simplify right side
    4,862.93x = 14,161,445.52
  5. Step 5: Solve for x
    x = 14,161,445.52/4,862.93
  6. Step 6: Final answer
    x = 2,912.13

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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.