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Finding the Fourth Proportional to 5,762.71, 8,642.26 and 1,866.31

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Solution

The fourth proportional to 5,762.71, 8,642.26 and 1,866.31 is: 2,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.71 : 8,642.26 = 1,866.31 : x
  2. Step 2: Convert to fraction form
    5,762.71/8,642.26 = 1,866.31/x
  3. Step 3: Cross multiply
    5,762.71x = 8,642.26 × 1,866.31
  4. Step 4: Simplify right side
    5,762.71x = 16,129,136.26
  5. Step 5: Solve for x
    x = 16,129,136.26/5,762.71
  6. Step 6: Final answer
    x = 2,798.88

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1.5x scale

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.