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Finding the Fourth Proportional to 4,802.59, 6,628.01 and 2,914.65

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Solution

The fourth proportional to 4,802.59, 6,628.01 and 2,914.65 is: 4,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.59 : 6,628.01 = 2,914.65 : x
  2. Step 2: Convert to fraction form
    4,802.59/6,628.01 = 2,914.65/x
  3. Step 3: Cross multiply
    4,802.59x = 6,628.01 × 2,914.65
  4. Step 4: Simplify right side
    4,802.59x = 19,318,329.35
  5. Step 5: Solve for x
    x = 19,318,329.35/4,802.59
  6. Step 6: Final answer
    x = 4,022.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.