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Finding the Fourth Proportional to 5,098.34, 7,646.07 and 1,809.65

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Solution

The fourth proportional to 5,098.34, 7,646.07 and 1,809.65 is: 2,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.34 : 7,646.07 = 1,809.65 : x
  2. Step 2: Convert to fraction form
    5,098.34/7,646.07 = 1,809.65/x
  3. Step 3: Cross multiply
    5,098.34x = 7,646.07 × 1,809.65
  4. Step 4: Simplify right side
    5,098.34x = 13,836,710.58
  5. Step 5: Solve for x
    x = 13,836,710.58/5,098.34
  6. Step 6: Final answer
    x = 2,713.96

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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.