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Finding the Fourth Proportional to 3,907.60, 5,285.50 and 3,907.60

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Solution

The fourth proportional to 3,907.60, 5,285.50 and 3,907.60 is: 5,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.60 : 5,285.50 = 3,907.60 : x
  2. Step 2: Convert to fraction form
    3,907.60/5,285.50 = 3,907.60/x
  3. Step 3: Cross multiply
    3,907.60x = 5,285.50 × 3,907.60
  4. Step 4: Simplify right side
    3,907.60x = 20,653,619.80
  5. Step 5: Solve for x
    x = 20,653,619.80/3,907.60
  6. Step 6: Final answer
    x = 5,285.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.