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Finding the Fourth Proportional to 5,263.04, 7,894.92 and 1,975.36

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Solution

The fourth proportional to 5,263.04, 7,894.92 and 1,975.36 is: 2,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.04 : 7,894.92 = 1,975.36 : x
  2. Step 2: Convert to fraction form
    5,263.04/7,894.92 = 1,975.36/x
  3. Step 3: Cross multiply
    5,263.04x = 7,894.92 × 1,975.36
  4. Step 4: Simplify right side
    5,263.04x = 15,595,309.17
  5. Step 5: Solve for x
    x = 15,595,309.17/5,263.04
  6. Step 6: Final answer
    x = 2,963.18

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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.