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Finding the Fourth Proportional to 4,038.88, 6,054 and 2,089.12

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Solution

The fourth proportional to 4,038.88, 6,054 and 2,089.12 is: 3,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.88 : 6,054 = 2,089.12 : x
  2. Step 2: Convert to fraction form
    4,038.88/6,054 = 2,089.12/x
  3. Step 3: Cross multiply
    4,038.88x = 6,054 × 2,089.12
  4. Step 4: Simplify right side
    4,038.88x = 12,647,532.48
  5. Step 5: Solve for x
    x = 12,647,532.48/4,038.88
  6. Step 6: Final answer
    x = 3,131.45

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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.