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Finding the Fourth Proportional to 4,903.71, 7,356.66 and 1,616.67

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Solution

The fourth proportional to 4,903.71, 7,356.66 and 1,616.67 is: 2,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.71 : 7,356.66 = 1,616.67 : x
  2. Step 2: Convert to fraction form
    4,903.71/7,356.66 = 1,616.67/x
  3. Step 3: Cross multiply
    4,903.71x = 7,356.66 × 1,616.67
  4. Step 4: Simplify right side
    4,903.71x = 11,893,291.52
  5. Step 5: Solve for x
    x = 11,893,291.52/4,903.71
  6. Step 6: Final answer
    x = 2,425.37

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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.