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Finding the Fourth Proportional to 5,206.77, 7,185.38 and 2,848.92

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Solution

The fourth proportional to 5,206.77, 7,185.38 and 2,848.92 is: 3,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.77 : 7,185.38 = 2,848.92 : x
  2. Step 2: Convert to fraction form
    5,206.77/7,185.38 = 2,848.92/x
  3. Step 3: Cross multiply
    5,206.77x = 7,185.38 × 2,848.92
  4. Step 4: Simplify right side
    5,206.77x = 20,470,572.79
  5. Step 5: Solve for x
    x = 20,470,572.79/5,206.77
  6. Step 6: Final answer
    x = 3,931.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.