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Finding the Fourth Proportional to 3,534.37, 4,878.74 and 3,035.01

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Solution

The fourth proportional to 3,534.37, 4,878.74 and 3,035.01 is: 4,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.37 : 4,878.74 = 3,035.01 : x
  2. Step 2: Convert to fraction form
    3,534.37/4,878.74 = 3,035.01/x
  3. Step 3: Cross multiply
    3,534.37x = 4,878.74 × 3,035.01
  4. Step 4: Simplify right side
    3,534.37x = 14,807,013.98
  5. Step 5: Solve for x
    x = 14,807,013.98/3,534.37
  6. Step 6: Final answer
    x = 4,189.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.