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Finding the Fourth Proportional to 3,035.01, 4,548.57 and 1,471.98

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Solution

The fourth proportional to 3,035.01, 4,548.57 and 1,471.98 is: 2,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.01 : 4,548.57 = 1,471.98 : x
  2. Step 2: Convert to fraction form
    3,035.01/4,548.57 = 1,471.98/x
  3. Step 3: Cross multiply
    3,035.01x = 4,548.57 × 1,471.98
  4. Step 4: Simplify right side
    3,035.01x = 6,695,404.07
  5. Step 5: Solve for x
    x = 6,695,404.07/3,035.01
  6. Step 6: Final answer
    x = 2,206.06

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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.