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Finding the Fourth Proportional to 3,549.72, 4,897.34 and 2,056.82

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Solution

The fourth proportional to 3,549.72, 4,897.34 and 2,056.82 is: 2,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.72 : 4,897.34 = 2,056.82 : x
  2. Step 2: Convert to fraction form
    3,549.72/4,897.34 = 2,056.82/x
  3. Step 3: Cross multiply
    3,549.72x = 4,897.34 × 2,056.82
  4. Step 4: Simplify right side
    3,549.72x = 10,072,946.86
  5. Step 5: Solve for x
    x = 10,072,946.86/3,549.72
  6. Step 6: Final answer
    x = 2,837.67

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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.