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Finding the Fourth Proportional to 5,904.56, 8,858.06 and 4,937.42

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Solution

The fourth proportional to 5,904.56, 8,858.06 and 4,937.42 is: 7,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.56 : 8,858.06 = 4,937.42 : x
  2. Step 2: Convert to fraction form
    5,904.56/8,858.06 = 4,937.42/x
  3. Step 3: Cross multiply
    5,904.56x = 8,858.06 × 4,937.42
  4. Step 4: Simplify right side
    5,904.56x = 43,735,962.61
  5. Step 5: Solve for x
    x = 43,735,962.61/5,904.56
  6. Step 6: Final answer
    x = 7,407.15

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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.