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Finding the Fourth Proportional to 3,539.58, 5,309.35 and 907.08

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Solution

The fourth proportional to 3,539.58, 5,309.35 and 907.08 is: 1,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.58 : 5,309.35 = 907.08 : x
  2. Step 2: Convert to fraction form
    3,539.58/5,309.35 = 907.08/x
  3. Step 3: Cross multiply
    3,539.58x = 5,309.35 × 907.08
  4. Step 4: Simplify right side
    3,539.58x = 4,816,005.20
  5. Step 5: Solve for x
    x = 4,816,005.20/3,539.58
  6. Step 6: Final answer
    x = 1,360.61

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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.