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Finding the Fourth Proportional to 4,699.56, 7,054.15 and 3,670.97

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Solution

The fourth proportional to 4,699.56, 7,054.15 and 3,670.97 is: 5,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.56 : 7,054.15 = 3,670.97 : x
  2. Step 2: Convert to fraction form
    4,699.56/7,054.15 = 3,670.97/x
  3. Step 3: Cross multiply
    4,699.56x = 7,054.15 × 3,670.97
  4. Step 4: Simplify right side
    4,699.56x = 25,895,528.58
  5. Step 5: Solve for x
    x = 25,895,528.58/4,699.56
  6. Step 6: Final answer
    x = 5,510.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.