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Finding the Fourth Proportional to 3,468.95, 5,201.00 and 1,277.40

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Solution

The fourth proportional to 3,468.95, 5,201.00 and 1,277.40 is: 1,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.95 : 5,201.00 = 1,277.40 : x
  2. Step 2: Convert to fraction form
    3,468.95/5,201.00 = 1,277.40/x
  3. Step 3: Cross multiply
    3,468.95x = 5,201.00 × 1,277.40
  4. Step 4: Simplify right side
    3,468.95x = 6,643,751.01
  5. Step 5: Solve for x
    x = 6,643,751.01/3,468.95
  6. Step 6: Final answer
    x = 1,915.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.