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Finding the Fourth Proportional to 5,097.42, 7,646.63 and 1,809.75

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Solution

The fourth proportional to 5,097.42, 7,646.63 and 1,809.75 is: 2,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.42 : 7,646.63 = 1,809.75 : x
  2. Step 2: Convert to fraction form
    5,097.42/7,646.63 = 1,809.75/x
  3. Step 3: Cross multiply
    5,097.42x = 7,646.63 × 1,809.75
  4. Step 4: Simplify right side
    5,097.42x = 13,838,479.59
  5. Step 5: Solve for x
    x = 13,838,479.59/5,097.42
  6. Step 6: Final answer
    x = 2,714.80

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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.