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Finding the Fourth Proportional to 5,188.18, 7,782.28 and 3,444.34

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Solution

The fourth proportional to 5,188.18, 7,782.28 and 3,444.34 is: 5,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.18 : 7,782.28 = 3,444.34 : x
  2. Step 2: Convert to fraction form
    5,188.18/7,782.28 = 3,444.34/x
  3. Step 3: Cross multiply
    5,188.18x = 7,782.28 × 3,444.34
  4. Step 4: Simplify right side
    5,188.18x = 26,804,818.30
  5. Step 5: Solve for x
    x = 26,804,818.30/5,188.18
  6. Step 6: Final answer
    x = 5,166.52

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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.