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Finding the Fourth Proportional to 4,880.25, 7,320.38 and 1,802.25

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Solution

The fourth proportional to 4,880.25, 7,320.38 and 1,802.25 is: 2,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.25 : 7,320.38 = 1,802.25 : x
  2. Step 2: Convert to fraction form
    4,880.25/7,320.38 = 1,802.25/x
  3. Step 3: Cross multiply
    4,880.25x = 7,320.38 × 1,802.25
  4. Step 4: Simplify right side
    4,880.25x = 13,193,145.84
  5. Step 5: Solve for x
    x = 13,193,145.84/4,880.25
  6. Step 6: Final answer
    x = 2,703.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.