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Finding the Fourth Proportional to 4,597.55, 6,890.89 and 1,964.28

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Solution

The fourth proportional to 4,597.55, 6,890.89 and 1,964.28 is: 2,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.55 : 6,890.89 = 1,964.28 : x
  2. Step 2: Convert to fraction form
    4,597.55/6,890.89 = 1,964.28/x
  3. Step 3: Cross multiply
    4,597.55x = 6,890.89 × 1,964.28
  4. Step 4: Simplify right side
    4,597.55x = 13,535,637.41
  5. Step 5: Solve for x
    x = 13,535,637.41/4,597.55
  6. Step 6: Final answer
    x = 2,944.10

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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.