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Finding the Fourth Proportional to 3,406.95, 5,106.63 and 1,325.96

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Solution

The fourth proportional to 3,406.95, 5,106.63 and 1,325.96 is: 1,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.95 : 5,106.63 = 1,325.96 : x
  2. Step 2: Convert to fraction form
    3,406.95/5,106.63 = 1,325.96/x
  3. Step 3: Cross multiply
    3,406.95x = 5,106.63 × 1,325.96
  4. Step 4: Simplify right side
    3,406.95x = 6,771,187.11
  5. Step 5: Solve for x
    x = 6,771,187.11/3,406.95
  6. Step 6: Final answer
    x = 1,987.46

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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.