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Finding the Fourth Proportional to 4,802.88, 7,205.58 and 2,028

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Solution

The fourth proportional to 4,802.88, 7,205.58 and 2,028 is: 3,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.88 : 7,205.58 = 2,028 : x
  2. Step 2: Convert to fraction form
    4,802.88/7,205.58 = 2,028/x
  3. Step 3: Cross multiply
    4,802.88x = 7,205.58 × 2,028
  4. Step 4: Simplify right side
    4,802.88x = 14,612,916.24
  5. Step 5: Solve for x
    x = 14,612,916.24/4,802.88
  6. Step 6: Final answer
    x = 3,042.53

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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.