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Finding the Fourth Proportional to 4,913.65, 7,364.67 and 4,858.84

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Solution

The fourth proportional to 4,913.65, 7,364.67 and 4,858.84 is: 7,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.65 : 7,364.67 = 4,858.84 : x
  2. Step 2: Convert to fraction form
    4,913.65/7,364.67 = 4,858.84/x
  3. Step 3: Cross multiply
    4,913.65x = 7,364.67 × 4,858.84
  4. Step 4: Simplify right side
    4,913.65x = 35,783,753.18
  5. Step 5: Solve for x
    x = 35,783,753.18/4,913.65
  6. Step 6: Final answer
    x = 7,282.52

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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.