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Finding the Fourth Proportional to 5,216, 7,816.92 and 1,925.92

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Solution

The fourth proportional to 5,216, 7,816.92 and 1,925.92 is: 2,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 7,816.92 = 1,925.92 : x
  2. Step 2: Convert to fraction form
    5,216/7,816.92 = 1,925.92/x
  3. Step 3: Cross multiply
    5,216x = 7,816.92 × 1,925.92
  4. Step 4: Simplify right side
    5,216x = 15,054,762.57
  5. Step 5: Solve for x
    x = 15,054,762.57/5,216
  6. Step 6: Final answer
    x = 2,886.27

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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.