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Finding the Fourth Proportional to 6,085.02, 8,402.44 and 4,102.14

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Solution

The fourth proportional to 6,085.02, 8,402.44 and 4,102.14 is: 5,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.02 : 8,402.44 = 4,102.14 : x
  2. Step 2: Convert to fraction form
    6,085.02/8,402.44 = 4,102.14/x
  3. Step 3: Cross multiply
    6,085.02x = 8,402.44 × 4,102.14
  4. Step 4: Simplify right side
    6,085.02x = 34,467,985.22
  5. Step 5: Solve for x
    x = 34,467,985.22/6,085.02
  6. Step 6: Final answer
    x = 5,664.40

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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.