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Finding the Fourth Proportional to 5,409.42, 8,114.19 and 1,899.28

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Solution

The fourth proportional to 5,409.42, 8,114.19 and 1,899.28 is: 2,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.42 : 8,114.19 = 1,899.28 : x
  2. Step 2: Convert to fraction form
    5,409.42/8,114.19 = 1,899.28/x
  3. Step 3: Cross multiply
    5,409.42x = 8,114.19 × 1,899.28
  4. Step 4: Simplify right side
    5,409.42x = 15,411,118.78
  5. Step 5: Solve for x
    x = 15,411,118.78/5,409.42
  6. Step 6: Final answer
    x = 2,848.94

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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.