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Finding the Fourth Proportional to 5,165.96, 7,129 and 2,808.08

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Solution

The fourth proportional to 5,165.96, 7,129 and 2,808.08 is: 3,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.96 : 7,129 = 2,808.08 : x
  2. Step 2: Convert to fraction form
    5,165.96/7,129 = 2,808.08/x
  3. Step 3: Cross multiply
    5,165.96x = 7,129 × 2,808.08
  4. Step 4: Simplify right side
    5,165.96x = 20,018,802.32
  5. Step 5: Solve for x
    x = 20,018,802.32/5,165.96
  6. Step 6: Final answer
    x = 3,875.14

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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.