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Finding the Fourth Proportional to 5,672.99, 8,486.59 and 5,082.16

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Solution

The fourth proportional to 5,672.99, 8,486.59 and 5,082.16 is: 7,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.99 : 8,486.59 = 5,082.16 : x
  2. Step 2: Convert to fraction form
    5,672.99/8,486.59 = 5,082.16/x
  3. Step 3: Cross multiply
    5,672.99x = 8,486.59 × 5,082.16
  4. Step 4: Simplify right side
    5,672.99x = 43,130,142.51
  5. Step 5: Solve for x
    x = 43,130,142.51/5,672.99
  6. Step 6: Final answer
    x = 7,602.72

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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.