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Finding the Fourth Proportional to 5,071.02, 7,000.14 and 3,082.22

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Solution

The fourth proportional to 5,071.02, 7,000.14 and 3,082.22 is: 4,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.02 : 7,000.14 = 3,082.22 : x
  2. Step 2: Convert to fraction form
    5,071.02/7,000.14 = 3,082.22/x
  3. Step 3: Cross multiply
    5,071.02x = 7,000.14 × 3,082.22
  4. Step 4: Simplify right side
    5,071.02x = 21,575,971.51
  5. Step 5: Solve for x
    x = 21,575,971.51/5,071.02
  6. Step 6: Final answer
    x = 4,254.76

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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.