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Finding the Fourth Proportional to 3,858.95, 5,325.45 and 2,366.00

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Solution

The fourth proportional to 3,858.95, 5,325.45 and 2,366.00 is: 3,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.95 : 5,325.45 = 2,366.00 : x
  2. Step 2: Convert to fraction form
    3,858.95/5,325.45 = 2,366.00/x
  3. Step 3: Cross multiply
    3,858.95x = 5,325.45 × 2,366.00
  4. Step 4: Simplify right side
    3,858.95x = 12,600,028.01
  5. Step 5: Solve for x
    x = 12,600,028.01/3,858.95
  6. Step 6: Final answer
    x = 3,265.14

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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.