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Finding the Fourth Proportional to 4,984.70, 7,477.03 and 1,521.95

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Solution

The fourth proportional to 4,984.70, 7,477.03 and 1,521.95 is: 2,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.70 : 7,477.03 = 1,521.95 : x
  2. Step 2: Convert to fraction form
    4,984.70/7,477.03 = 1,521.95/x
  3. Step 3: Cross multiply
    4,984.70x = 7,477.03 × 1,521.95
  4. Step 4: Simplify right side
    4,984.70x = 11,379,665.81
  5. Step 5: Solve for x
    x = 11,379,665.81/4,984.70
  6. Step 6: Final answer
    x = 2,282.92

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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.