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Finding the Fourth Proportional to 5,678.95, 8,519.77 and 1,783.35

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Solution

The fourth proportional to 5,678.95, 8,519.77 and 1,783.35 is: 2,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.95 : 8,519.77 = 1,783.35 : x
  2. Step 2: Convert to fraction form
    5,678.95/8,519.77 = 1,783.35/x
  3. Step 3: Cross multiply
    5,678.95x = 8,519.77 × 1,783.35
  4. Step 4: Simplify right side
    5,678.95x = 15,193,767.49
  5. Step 5: Solve for x
    x = 15,193,767.49/5,678.95
  6. Step 6: Final answer
    x = 2,675.45

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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.