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Finding the Fourth Proportional to 4,576.45, 6,859.97 and 1,802.00

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Solution

The fourth proportional to 4,576.45, 6,859.97 and 1,802.00 is: 2,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.45 : 6,859.97 = 1,802.00 : x
  2. Step 2: Convert to fraction form
    4,576.45/6,859.97 = 1,802.00/x
  3. Step 3: Cross multiply
    4,576.45x = 6,859.97 × 1,802.00
  4. Step 4: Simplify right side
    4,576.45x = 12,361,637.18
  5. Step 5: Solve for x
    x = 12,361,637.18/4,576.45
  6. Step 6: Final answer
    x = 2,701.14

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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.