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Finding the Fourth Proportional to 4,802.94, 7,208.46 and 1,883.30

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Solution

The fourth proportional to 4,802.94, 7,208.46 and 1,883.30 is: 2,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.94 : 7,208.46 = 1,883.30 : x
  2. Step 2: Convert to fraction form
    4,802.94/7,208.46 = 1,883.30/x
  3. Step 3: Cross multiply
    4,802.94x = 7,208.46 × 1,883.30
  4. Step 4: Simplify right side
    4,802.94x = 13,575,656.68
  5. Step 5: Solve for x
    x = 13,575,656.68/4,802.94
  6. Step 6: Final answer
    x = 2,826.53

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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.