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Finding the Fourth Proportional to 3,897.35, 5,845.98 and 1,123.93

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Solution

The fourth proportional to 3,897.35, 5,845.98 and 1,123.93 is: 1,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.35 : 5,845.98 = 1,123.93 : x
  2. Step 2: Convert to fraction form
    3,897.35/5,845.98 = 1,123.93/x
  3. Step 3: Cross multiply
    3,897.35x = 5,845.98 × 1,123.93
  4. Step 4: Simplify right side
    3,897.35x = 6,570,457.13
  5. Step 5: Solve for x
    x = 6,570,457.13/3,897.35
  6. Step 6: Final answer
    x = 1,685.88

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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.