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Finding the Fourth Proportional to 6,434.58, 8,881.11 and 3,917.50

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Solution

The fourth proportional to 6,434.58, 8,881.11 and 3,917.50 is: 5,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.58 : 8,881.11 = 3,917.50 : x
  2. Step 2: Convert to fraction form
    6,434.58/8,881.11 = 3,917.50/x
  3. Step 3: Cross multiply
    6,434.58x = 8,881.11 × 3,917.50
  4. Step 4: Simplify right side
    6,434.58x = 34,791,748.43
  5. Step 5: Solve for x
    x = 34,791,748.43/6,434.58
  6. Step 6: Final answer
    x = 5,407.00

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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.