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Finding the Fourth Proportional to 3,494.95, 5,242.01 and 1,914.14

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Solution

The fourth proportional to 3,494.95, 5,242.01 and 1,914.14 is: 2,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.95 : 5,242.01 = 1,914.14 : x
  2. Step 2: Convert to fraction form
    3,494.95/5,242.01 = 1,914.14/x
  3. Step 3: Cross multiply
    3,494.95x = 5,242.01 × 1,914.14
  4. Step 4: Simplify right side
    3,494.95x = 10,033,941.02
  5. Step 5: Solve for x
    x = 10,033,941.02/3,494.95
  6. Step 6: Final answer
    x = 2,870.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.