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Finding the Fourth Proportional to 3,156.36, 4,355.78 and 1,830.32

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Solution

The fourth proportional to 3,156.36, 4,355.78 and 1,830.32 is: 2,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.36 : 4,355.78 = 1,830.32 : x
  2. Step 2: Convert to fraction form
    3,156.36/4,355.78 = 1,830.32/x
  3. Step 3: Cross multiply
    3,156.36x = 4,355.78 × 1,830.32
  4. Step 4: Simplify right side
    3,156.36x = 7,972,471.25
  5. Step 5: Solve for x
    x = 7,972,471.25/3,156.36
  6. Step 6: Final answer
    x = 2,525.84

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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.