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Finding the Fourth Proportional to 5,178.15, 7,764.30 and 3,536.70

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Solution

The fourth proportional to 5,178.15, 7,764.30 and 3,536.70 is: 5,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.15 : 7,764.30 = 3,536.70 : x
  2. Step 2: Convert to fraction form
    5,178.15/7,764.30 = 3,536.70/x
  3. Step 3: Cross multiply
    5,178.15x = 7,764.30 × 3,536.70
  4. Step 4: Simplify right side
    5,178.15x = 27,459,999.81
  5. Step 5: Solve for x
    x = 27,459,999.81/5,178.15
  6. Step 6: Final answer
    x = 5,303.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.