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Finding the Fourth Proportional to 5,434.35, 8,188.05 and 4,914.93

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Solution

The fourth proportional to 5,434.35, 8,188.05 and 4,914.93 is: 7,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.35 : 8,188.05 = 4,914.93 : x
  2. Step 2: Convert to fraction form
    5,434.35/8,188.05 = 4,914.93/x
  3. Step 3: Cross multiply
    5,434.35x = 8,188.05 × 4,914.93
  4. Step 4: Simplify right side
    5,434.35x = 40,243,692.59
  5. Step 5: Solve for x
    x = 40,243,692.59/5,434.35
  6. Step 6: Final answer
    x = 7,405.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.