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Finding the Fourth Proportional to 6,041.88, 9,062.82 and 3,848.40

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Solution

The fourth proportional to 6,041.88, 9,062.82 and 3,848.40 is: 5,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.88 : 9,062.82 = 3,848.40 : x
  2. Step 2: Convert to fraction form
    6,041.88/9,062.82 = 3,848.40/x
  3. Step 3: Cross multiply
    6,041.88x = 9,062.82 × 3,848.40
  4. Step 4: Simplify right side
    6,041.88x = 34,877,356.49
  5. Step 5: Solve for x
    x = 34,877,356.49/6,041.88
  6. Step 6: Final answer
    x = 5,772.60

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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.