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Finding the Fourth Proportional to 5,762.48, 8,645.06 and 1,866.87

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Solution

The fourth proportional to 5,762.48, 8,645.06 and 1,866.87 is: 2,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.48 : 8,645.06 = 1,866.87 : x
  2. Step 2: Convert to fraction form
    5,762.48/8,645.06 = 1,866.87/x
  3. Step 3: Cross multiply
    5,762.48x = 8,645.06 × 1,866.87
  4. Step 4: Simplify right side
    5,762.48x = 16,139,207.83
  5. Step 5: Solve for x
    x = 16,139,207.83/5,762.48
  6. Step 6: Final answer
    x = 2,800.74

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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.