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Finding the Fourth Proportional to 5,162.93, 7,743.78 and 1,875.75

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Solution

The fourth proportional to 5,162.93, 7,743.78 and 1,875.75 is: 2,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.93 : 7,743.78 = 1,875.75 : x
  2. Step 2: Convert to fraction form
    5,162.93/7,743.78 = 1,875.75/x
  3. Step 3: Cross multiply
    5,162.93x = 7,743.78 × 1,875.75
  4. Step 4: Simplify right side
    5,162.93x = 14,525,395.34
  5. Step 5: Solve for x
    x = 14,525,395.34/5,162.93
  6. Step 6: Final answer
    x = 2,813.40

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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.