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Finding the Fourth Proportional to 4,646.81, 6,412.65 and 2,550.98

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Solution

The fourth proportional to 4,646.81, 6,412.65 and 2,550.98 is: 3,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.81 : 6,412.65 = 2,550.98 : x
  2. Step 2: Convert to fraction form
    4,646.81/6,412.65 = 2,550.98/x
  3. Step 3: Cross multiply
    4,646.81x = 6,412.65 × 2,550.98
  4. Step 4: Simplify right side
    4,646.81x = 16,358,548.36
  5. Step 5: Solve for x
    x = 16,358,548.36/4,646.81
  6. Step 6: Final answer
    x = 3,520.38

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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.