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Finding the Fourth Proportional to 6,117.12, 8,440.64 and 3,464

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Solution

The fourth proportional to 6,117.12, 8,440.64 and 3,464 is: 4,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.12 : 8,440.64 = 3,464 : x
  2. Step 2: Convert to fraction form
    6,117.12/8,440.64 = 3,464/x
  3. Step 3: Cross multiply
    6,117.12x = 8,440.64 × 3,464
  4. Step 4: Simplify right side
    6,117.12x = 29,238,376.96
  5. Step 5: Solve for x
    x = 29,238,376.96/6,117.12
  6. Step 6: Final answer
    x = 4,779.76

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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.