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Finding the Fourth Proportional to 4,692.16, 7,036.48 and 1,768.88

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Solution

The fourth proportional to 4,692.16, 7,036.48 and 1,768.88 is: 2,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.16 : 7,036.48 = 1,768.88 : x
  2. Step 2: Convert to fraction form
    4,692.16/7,036.48 = 1,768.88/x
  3. Step 3: Cross multiply
    4,692.16x = 7,036.48 × 1,768.88
  4. Step 4: Simplify right side
    4,692.16x = 12,446,688.74
  5. Step 5: Solve for x
    x = 12,446,688.74/4,692.16
  6. Step 6: Final answer
    x = 2,652.66

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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.