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Finding the Fourth Proportional to 3,494.16, 5,241.78 and 1,303.20

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Solution

The fourth proportional to 3,494.16, 5,241.78 and 1,303.20 is: 1,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.16 : 5,241.78 = 1,303.20 : x
  2. Step 2: Convert to fraction form
    3,494.16/5,241.78 = 1,303.20/x
  3. Step 3: Cross multiply
    3,494.16x = 5,241.78 × 1,303.20
  4. Step 4: Simplify right side
    3,494.16x = 6,831,087.70
  5. Step 5: Solve for x
    x = 6,831,087.70/3,494.16
  6. Step 6: Final answer
    x = 1,955.00

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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.