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Finding the Fourth Proportional to 3,612.98, 5,415.14 and 1,303.22

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Solution

The fourth proportional to 3,612.98, 5,415.14 and 1,303.22 is: 1,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.98 : 5,415.14 = 1,303.22 : x
  2. Step 2: Convert to fraction form
    3,612.98/5,415.14 = 1,303.22/x
  3. Step 3: Cross multiply
    3,612.98x = 5,415.14 × 1,303.22
  4. Step 4: Simplify right side
    3,612.98x = 7,057,118.75
  5. Step 5: Solve for x
    x = 7,057,118.75/3,612.98
  6. Step 6: Final answer
    x = 1,953.27

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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.