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Finding the Fourth Proportional to 4,744.86, 7,068.68 and 4,693.02

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Solution

The fourth proportional to 4,744.86, 7,068.68 and 4,693.02 is: 6,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.86 : 7,068.68 = 4,693.02 : x
  2. Step 2: Convert to fraction form
    4,744.86/7,068.68 = 4,693.02/x
  3. Step 3: Cross multiply
    4,744.86x = 7,068.68 × 4,693.02
  4. Step 4: Simplify right side
    4,744.86x = 33,173,433.15
  5. Step 5: Solve for x
    x = 33,173,433.15/4,744.86
  6. Step 6: Final answer
    x = 6,991.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.