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Finding the Fourth Proportional to 5,780.01, 8,670.02 and 2,082.16

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Solution

The fourth proportional to 5,780.01, 8,670.02 and 2,082.16 is: 3,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.01 : 8,670.02 = 2,082.16 : x
  2. Step 2: Convert to fraction form
    5,780.01/8,670.02 = 2,082.16/x
  3. Step 3: Cross multiply
    5,780.01x = 8,670.02 × 2,082.16
  4. Step 4: Simplify right side
    5,780.01x = 18,052,368.84
  5. Step 5: Solve for x
    x = 18,052,368.84/5,780.01
  6. Step 6: Final answer
    x = 3,123.24

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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.