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Finding the Fourth Proportional to 5,762.61, 8,644.05 and 1,866.51

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Solution

The fourth proportional to 5,762.61, 8,644.05 and 1,866.51 is: 2,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.61 : 8,644.05 = 1,866.51 : x
  2. Step 2: Convert to fraction form
    5,762.61/8,644.05 = 1,866.51/x
  3. Step 3: Cross multiply
    5,762.61x = 8,644.05 × 1,866.51
  4. Step 4: Simplify right side
    5,762.61x = 16,134,205.77
  5. Step 5: Solve for x
    x = 16,134,205.77/5,762.61
  6. Step 6: Final answer
    x = 2,799.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.