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Finding the Fourth Proportional to 4,802.37, 7,201.77 and 1,681.47

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Solution

The fourth proportional to 4,802.37, 7,201.77 and 1,681.47 is: 2,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.37 : 7,201.77 = 1,681.47 : x
  2. Step 2: Convert to fraction form
    4,802.37/7,201.77 = 1,681.47/x
  3. Step 3: Cross multiply
    4,802.37x = 7,201.77 × 1,681.47
  4. Step 4: Simplify right side
    4,802.37x = 12,109,560.20
  5. Step 5: Solve for x
    x = 12,109,560.20/4,802.37
  6. Step 6: Final answer
    x = 2,521.58

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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.