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Finding the Fourth Proportional to 4,536.48, 6,802.97 and 1,762.79

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Solution

The fourth proportional to 4,536.48, 6,802.97 and 1,762.79 is: 2,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.48 : 6,802.97 = 1,762.79 : x
  2. Step 2: Convert to fraction form
    4,536.48/6,802.97 = 1,762.79/x
  3. Step 3: Cross multiply
    4,536.48x = 6,802.97 × 1,762.79
  4. Step 4: Simplify right side
    4,536.48x = 11,992,177.88
  5. Step 5: Solve for x
    x = 11,992,177.88/4,536.48
  6. Step 6: Final answer
    x = 2,643.50

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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.