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Finding the Fourth Proportional to 5,070.70, 7,605.99 and 1,783.78

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Solution

The fourth proportional to 5,070.70, 7,605.99 and 1,783.78 is: 2,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.70 : 7,605.99 = 1,783.78 : x
  2. Step 2: Convert to fraction form
    5,070.70/7,605.99 = 1,783.78/x
  3. Step 3: Cross multiply
    5,070.70x = 7,605.99 × 1,783.78
  4. Step 4: Simplify right side
    5,070.70x = 13,567,412.84
  5. Step 5: Solve for x
    x = 13,567,412.84/5,070.70
  6. Step 6: Final answer
    x = 2,675.65

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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.