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Finding the Fourth Proportional to 6,111.64, 8,434.59 and 3,459.57

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Solution

The fourth proportional to 6,111.64, 8,434.59 and 3,459.57 is: 4,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.64 : 8,434.59 = 3,459.57 : x
  2. Step 2: Convert to fraction form
    6,111.64/8,434.59 = 3,459.57/x
  3. Step 3: Cross multiply
    6,111.64x = 8,434.59 × 3,459.57
  4. Step 4: Simplify right side
    6,111.64x = 29,180,054.53
  5. Step 5: Solve for x
    x = 29,180,054.53/6,111.64
  6. Step 6: Final answer
    x = 4,774.50

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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.