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Finding the Fourth Proportional to 3,156.02, 4,355.10 and 1,896.32

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Solution

The fourth proportional to 3,156.02, 4,355.10 and 1,896.32 is: 2,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.02 : 4,355.10 = 1,896.32 : x
  2. Step 2: Convert to fraction form
    3,156.02/4,355.10 = 1,896.32/x
  3. Step 3: Cross multiply
    3,156.02x = 4,355.10 × 1,896.32
  4. Step 4: Simplify right side
    3,156.02x = 8,258,663.23
  5. Step 5: Solve for x
    x = 8,258,663.23/3,156.02
  6. Step 6: Final answer
    x = 2,616.80

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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.