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Finding the Fourth Proportional to 4,770, 6,582.72 and 2,674.32

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Solution

The fourth proportional to 4,770, 6,582.72 and 2,674.32 is: 3,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 6,582.72 = 2,674.32 : x
  2. Step 2: Convert to fraction form
    4,770/6,582.72 = 2,674.32/x
  3. Step 3: Cross multiply
    4,770x = 6,582.72 × 2,674.32
  4. Step 4: Simplify right side
    4,770x = 17,604,299.75
  5. Step 5: Solve for x
    x = 17,604,299.75/4,770
  6. Step 6: Final answer
    x = 3,690.63

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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.