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Finding the Fourth Proportional to 4,997.70, 7,501.13 and 2,534.22

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Solution

The fourth proportional to 4,997.70, 7,501.13 and 2,534.22 is: 3,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.70 : 7,501.13 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    4,997.70/7,501.13 = 2,534.22/x
  3. Step 3: Cross multiply
    4,997.70x = 7,501.13 × 2,534.22
  4. Step 4: Simplify right side
    4,997.70x = 19,009,538.63
  5. Step 5: Solve for x
    x = 19,009,538.63/4,997.70
  6. Step 6: Final answer
    x = 3,803.65

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