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Finding the Fourth Proportional to 5,762.94, 8,643.78 and 1,866.30

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Solution

The fourth proportional to 5,762.94, 8,643.78 and 1,866.30 is: 2,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.94 : 8,643.78 = 1,866.30 : x
  2. Step 2: Convert to fraction form
    5,762.94/8,643.78 = 1,866.30/x
  3. Step 3: Cross multiply
    5,762.94x = 8,643.78 × 1,866.30
  4. Step 4: Simplify right side
    5,762.94x = 16,131,886.61
  5. Step 5: Solve for x
    x = 16,131,886.61/5,762.94
  6. Step 6: Final answer
    x = 2,799.25

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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.