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Finding the Fourth Proportional to 4,692.14, 7,034.11 and 1,772.50

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Solution

The fourth proportional to 4,692.14, 7,034.11 and 1,772.50 is: 2,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.14 : 7,034.11 = 1,772.50 : x
  2. Step 2: Convert to fraction form
    4,692.14/7,034.11 = 1,772.50/x
  3. Step 3: Cross multiply
    4,692.14x = 7,034.11 × 1,772.50
  4. Step 4: Simplify right side
    4,692.14x = 12,467,925.21
  5. Step 5: Solve for x
    x = 12,467,925.21/4,692.14
  6. Step 6: Final answer
    x = 2,657.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.