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Finding the Fourth Proportional to 5,740.77, 8,605.68 and 1,842.51

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Solution

The fourth proportional to 5,740.77, 8,605.68 and 1,842.51 is: 2,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.77 : 8,605.68 = 1,842.51 : x
  2. Step 2: Convert to fraction form
    5,740.77/8,605.68 = 1,842.51/x
  3. Step 3: Cross multiply
    5,740.77x = 8,605.68 × 1,842.51
  4. Step 4: Simplify right side
    5,740.77x = 15,856,051.46
  5. Step 5: Solve for x
    x = 15,856,051.46/5,740.77
  6. Step 6: Final answer
    x = 2,762.01

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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.