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Finding the Fourth Proportional to 4,538.70, 6,806.88 and 1,616.58

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Solution

The fourth proportional to 4,538.70, 6,806.88 and 1,616.58 is: 2,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.70 : 6,806.88 = 1,616.58 : x
  2. Step 2: Convert to fraction form
    4,538.70/6,806.88 = 1,616.58/x
  3. Step 3: Cross multiply
    4,538.70x = 6,806.88 × 1,616.58
  4. Step 4: Simplify right side
    4,538.70x = 11,003,866.07
  5. Step 5: Solve for x
    x = 11,003,866.07/4,538.70
  6. Step 6: Final answer
    x = 2,424.45

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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.