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Finding the Fourth Proportional to 3,655.99, 5,484.15 and 1,783.60

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Solution

The fourth proportional to 3,655.99, 5,484.15 and 1,783.60 is: 2,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.99 : 5,484.15 = 1,783.60 : x
  2. Step 2: Convert to fraction form
    3,655.99/5,484.15 = 1,783.60/x
  3. Step 3: Cross multiply
    3,655.99x = 5,484.15 × 1,783.60
  4. Step 4: Simplify right side
    3,655.99x = 9,781,536.80
  5. Step 5: Solve for x
    x = 9,781,536.80/3,655.99
  6. Step 6: Final answer
    x = 2,675.48

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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.