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Finding the Fourth Proportional to 4,770.93, 6,582.78 and 3,004.86

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Solution

The fourth proportional to 4,770.93, 6,582.78 and 3,004.86 is: 4,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.93 : 6,582.78 = 3,004.86 : x
  2. Step 2: Convert to fraction form
    4,770.93/6,582.78 = 3,004.86/x
  3. Step 3: Cross multiply
    4,770.93x = 6,582.78 × 3,004.86
  4. Step 4: Simplify right side
    4,770.93x = 19,780,332.31
  5. Step 5: Solve for x
    x = 19,780,332.31/4,770.93
  6. Step 6: Final answer
    x = 4,146.01

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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.