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Finding the Fourth Proportional to 5,124.36, 7,686.48 and 1,837.68

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Solution

The fourth proportional to 5,124.36, 7,686.48 and 1,837.68 is: 2,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.36 : 7,686.48 = 1,837.68 : x
  2. Step 2: Convert to fraction form
    5,124.36/7,686.48 = 1,837.68/x
  3. Step 3: Cross multiply
    5,124.36x = 7,686.48 × 1,837.68
  4. Step 4: Simplify right side
    5,124.36x = 14,125,290.57
  5. Step 5: Solve for x
    x = 14,125,290.57/5,124.36
  6. Step 6: Final answer
    x = 2,756.50

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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.