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Finding the Fourth Proportional to 5,070.69, 7,609.44 and 1,783.80

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Solution

The fourth proportional to 5,070.69, 7,609.44 and 1,783.80 is: 2,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.69 : 7,609.44 = 1,783.80 : x
  2. Step 2: Convert to fraction form
    5,070.69/7,609.44 = 1,783.80/x
  3. Step 3: Cross multiply
    5,070.69x = 7,609.44 × 1,783.80
  4. Step 4: Simplify right side
    5,070.69x = 13,573,719.07
  5. Step 5: Solve for x
    x = 13,573,719.07/5,070.69
  6. Step 6: Final answer
    x = 2,676.90

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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.