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Finding the Fourth Proportional to 4,692.65, 6,480.70 and 4,060.14

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Solution

The fourth proportional to 4,692.65, 6,480.70 and 4,060.14 is: 5,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.65 : 6,480.70 = 4,060.14 : x
  2. Step 2: Convert to fraction form
    4,692.65/6,480.70 = 4,060.14/x
  3. Step 3: Cross multiply
    4,692.65x = 6,480.70 × 4,060.14
  4. Step 4: Simplify right side
    4,692.65x = 26,312,514.85
  5. Step 5: Solve for x
    x = 26,312,514.85/4,692.65
  6. Step 6: Final answer
    x = 5,607.18

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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.