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Finding the Fourth Proportional to 6,038.64, 9,057.84 and 3,436

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Solution

The fourth proportional to 6,038.64, 9,057.84 and 3,436 is: 5,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.64 : 9,057.84 = 3,436 : x
  2. Step 2: Convert to fraction form
    6,038.64/9,057.84 = 3,436/x
  3. Step 3: Cross multiply
    6,038.64x = 9,057.84 × 3,436
  4. Step 4: Simplify right side
    6,038.64x = 31,122,738.24
  5. Step 5: Solve for x
    x = 31,122,738.24/6,038.64
  6. Step 6: Final answer
    x = 5,153.93

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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.