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Finding the Fourth Proportional to 4,971.77, 7,441.70 and 3,302.06

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Solution

The fourth proportional to 4,971.77, 7,441.70 and 3,302.06 is: 4,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.77 : 7,441.70 = 3,302.06 : x
  2. Step 2: Convert to fraction form
    4,971.77/7,441.70 = 3,302.06/x
  3. Step 3: Cross multiply
    4,971.77x = 7,441.70 × 3,302.06
  4. Step 4: Simplify right side
    4,971.77x = 24,572,886.18
  5. Step 5: Solve for x
    x = 24,572,886.18/4,971.77
  6. Step 6: Final answer
    x = 4,942.49

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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.