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Finding the Fourth Proportional to 5,210.76, 7,818.35 and 3,456.37

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Solution

The fourth proportional to 5,210.76, 7,818.35 and 3,456.37 is: 5,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.76 : 7,818.35 = 3,456.37 : x
  2. Step 2: Convert to fraction form
    5,210.76/7,818.35 = 3,456.37/x
  3. Step 3: Cross multiply
    5,210.76x = 7,818.35 × 3,456.37
  4. Step 4: Simplify right side
    5,210.76x = 27,023,134.47
  5. Step 5: Solve for x
    x = 27,023,134.47/5,210.76
  6. Step 6: Final answer
    x = 5,186.03

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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.