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Finding the Fourth Proportional to 4,806.60, 6,632.58 and 3,814.35

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Solution

The fourth proportional to 4,806.60, 6,632.58 and 3,814.35 is: 5,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.60 : 6,632.58 = 3,814.35 : x
  2. Step 2: Convert to fraction form
    4,806.60/6,632.58 = 3,814.35/x
  3. Step 3: Cross multiply
    4,806.60x = 6,632.58 × 3,814.35
  4. Step 4: Simplify right side
    4,806.60x = 25,298,981.52
  5. Step 5: Solve for x
    x = 25,298,981.52/4,806.60
  6. Step 6: Final answer
    x = 5,263.38

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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.