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Finding the Fourth Proportional to 5,096.37, 7,645.70 and 1,809.46

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Solution

The fourth proportional to 5,096.37, 7,645.70 and 1,809.46 is: 2,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.37 : 7,645.70 = 1,809.46 : x
  2. Step 2: Convert to fraction form
    5,096.37/7,645.70 = 1,809.46/x
  3. Step 3: Cross multiply
    5,096.37x = 7,645.70 × 1,809.46
  4. Step 4: Simplify right side
    5,096.37x = 13,834,602.40
  5. Step 5: Solve for x
    x = 13,834,602.40/5,096.37
  6. Step 6: Final answer
    x = 2,714.60

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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.