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Finding the Fourth Proportional to 5,675.92, 8,513.88 and 1,780.62

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Solution

The fourth proportional to 5,675.92, 8,513.88 and 1,780.62 is: 2,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.92 : 8,513.88 = 1,780.62 : x
  2. Step 2: Convert to fraction form
    5,675.92/8,513.88 = 1,780.62/x
  3. Step 3: Cross multiply
    5,675.92x = 8,513.88 × 1,780.62
  4. Step 4: Simplify right side
    5,675.92x = 15,159,985.01
  5. Step 5: Solve for x
    x = 15,159,985.01/5,675.92
  6. Step 6: Final answer
    x = 2,670.93

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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.