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Finding the Fourth Proportional to 5,846.51, 8,770.93 and 2,148.77

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Solution

The fourth proportional to 5,846.51, 8,770.93 and 2,148.77 is: 3,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.51 : 8,770.93 = 2,148.77 : x
  2. Step 2: Convert to fraction form
    5,846.51/8,770.93 = 2,148.77/x
  3. Step 3: Cross multiply
    5,846.51x = 8,770.93 × 2,148.77
  4. Step 4: Simplify right side
    5,846.51x = 18,846,727.81
  5. Step 5: Solve for x
    x = 18,846,727.81/5,846.51
  6. Step 6: Final answer
    x = 3,223.58

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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.