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Finding the Fourth Proportional to 4,977.84, 7,461.53 and 3,805.30

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Solution

The fourth proportional to 4,977.84, 7,461.53 and 3,805.30 is: 5,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.84 : 7,461.53 = 3,805.30 : x
  2. Step 2: Convert to fraction form
    4,977.84/7,461.53 = 3,805.30/x
  3. Step 3: Cross multiply
    4,977.84x = 7,461.53 × 3,805.30
  4. Step 4: Simplify right side
    4,977.84x = 28,393,360.11
  5. Step 5: Solve for x
    x = 28,393,360.11/4,977.84
  6. Step 6: Final answer
    x = 5,703.95

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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.