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Finding the Fourth Proportional to 4,897.56, 7,347.42 and 1,611.66

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Solution

The fourth proportional to 4,897.56, 7,347.42 and 1,611.66 is: 2,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.56 : 7,347.42 = 1,611.66 : x
  2. Step 2: Convert to fraction form
    4,897.56/7,347.42 = 1,611.66/x
  3. Step 3: Cross multiply
    4,897.56x = 7,347.42 × 1,611.66
  4. Step 4: Simplify right side
    4,897.56x = 11,841,542.92
  5. Step 5: Solve for x
    x = 11,841,542.92/4,897.56
  6. Step 6: Final answer
    x = 2,417.85

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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.