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Finding the Fourth Proportional to 4,770.86, 6,583.82 and 2,646.46

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Solution

The fourth proportional to 4,770.86, 6,583.82 and 2,646.46 is: 3,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.86 : 6,583.82 = 2,646.46 : x
  2. Step 2: Convert to fraction form
    4,770.86/6,583.82 = 2,646.46/x
  3. Step 3: Cross multiply
    4,770.86x = 6,583.82 × 2,646.46
  4. Step 4: Simplify right side
    4,770.86x = 17,423,813.18
  5. Step 5: Solve for x
    x = 17,423,813.18/4,770.86
  6. Step 6: Final answer
    x = 3,652.13

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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.