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Finding the Fourth Proportional to 4,888, 7,337.88 and 4,117.69

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Solution

The fourth proportional to 4,888, 7,337.88 and 4,117.69 is: 6,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888 : 7,337.88 = 4,117.69 : x
  2. Step 2: Convert to fraction form
    4,888/7,337.88 = 4,117.69/x
  3. Step 3: Cross multiply
    4,888x = 7,337.88 × 4,117.69
  4. Step 4: Simplify right side
    4,888x = 30,215,094.51
  5. Step 5: Solve for x
    x = 30,215,094.51/4,888
  6. Step 6: Final answer
    x = 6,181.48

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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.