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Finding the Fourth Proportional to 5,953.71, 8,206.65 and 4,692.72

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Solution

The fourth proportional to 5,953.71, 8,206.65 and 4,692.72 is: 6,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.71 : 8,206.65 = 4,692.72 : x
  2. Step 2: Convert to fraction form
    5,953.71/8,206.65 = 4,692.72/x
  3. Step 3: Cross multiply
    5,953.71x = 8,206.65 × 4,692.72
  4. Step 4: Simplify right side
    5,953.71x = 38,511,510.59
  5. Step 5: Solve for x
    x = 38,511,510.59/5,953.71
  6. Step 6: Final answer
    x = 6,468.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.