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Finding the Fourth Proportional to 4,916.84, 7,370.90 and 3,526.68

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Solution

The fourth proportional to 4,916.84, 7,370.90 and 3,526.68 is: 5,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.84 : 7,370.90 = 3,526.68 : x
  2. Step 2: Convert to fraction form
    4,916.84/7,370.90 = 3,526.68/x
  3. Step 3: Cross multiply
    4,916.84x = 7,370.90 × 3,526.68
  4. Step 4: Simplify right side
    4,916.84x = 25,994,805.61
  5. Step 5: Solve for x
    x = 25,994,805.61/4,916.84
  6. Step 6: Final answer
    x = 5,286.89

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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.