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Finding the Fourth Proportional to 3,598.58, 5,395.82 and 1,406.11

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Solution

The fourth proportional to 3,598.58, 5,395.82 and 1,406.11 is: 2,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.58 : 5,395.82 = 1,406.11 : x
  2. Step 2: Convert to fraction form
    3,598.58/5,395.82 = 1,406.11/x
  3. Step 3: Cross multiply
    3,598.58x = 5,395.82 × 1,406.11
  4. Step 4: Simplify right side
    3,598.58x = 7,587,106.06
  5. Step 5: Solve for x
    x = 7,587,106.06/3,598.58
  6. Step 6: Final answer
    x = 2,108.36

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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.