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Finding the Fourth Proportional to 4,897.33, 7,344.28 and 1,776.81

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Solution

The fourth proportional to 4,897.33, 7,344.28 and 1,776.81 is: 2,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.33 : 7,344.28 = 1,776.81 : x
  2. Step 2: Convert to fraction form
    4,897.33/7,344.28 = 1,776.81/x
  3. Step 3: Cross multiply
    4,897.33x = 7,344.28 × 1,776.81
  4. Step 4: Simplify right side
    4,897.33x = 13,049,344.54
  5. Step 5: Solve for x
    x = 13,049,344.54/4,897.33
  6. Step 6: Final answer
    x = 2,664.58

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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.