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Finding the Fourth Proportional to 6,111.86, 8,434.40 and 3,459.51

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Solution

The fourth proportional to 6,111.86, 8,434.40 and 3,459.51 is: 4,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.86 : 8,434.40 = 3,459.51 : x
  2. Step 2: Convert to fraction form
    6,111.86/8,434.40 = 3,459.51/x
  3. Step 3: Cross multiply
    6,111.86x = 8,434.40 × 3,459.51
  4. Step 4: Simplify right side
    6,111.86x = 29,178,873.85
  5. Step 5: Solve for x
    x = 29,178,873.85/6,111.86
  6. Step 6: Final answer
    x = 4,774.14

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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.