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Finding the Fourth Proportional to 3,427.89, 4,730.00 and 1,935.60

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Solution

The fourth proportional to 3,427.89, 4,730.00 and 1,935.60 is: 2,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.89 : 4,730.00 = 1,935.60 : x
  2. Step 2: Convert to fraction form
    3,427.89/4,730.00 = 1,935.60/x
  3. Step 3: Cross multiply
    3,427.89x = 4,730.00 × 1,935.60
  4. Step 4: Simplify right side
    3,427.89x = 9,155,378.32
  5. Step 5: Solve for x
    x = 9,155,378.32/3,427.89
  6. Step 6: Final answer
    x = 2,670.85

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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.