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Finding the Fourth Proportional to 5,653.86, 8,482.23 and 1,758.30

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Solution

The fourth proportional to 5,653.86, 8,482.23 and 1,758.30 is: 2,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.86 : 8,482.23 = 1,758.30 : x
  2. Step 2: Convert to fraction form
    5,653.86/8,482.23 = 1,758.30/x
  3. Step 3: Cross multiply
    5,653.86x = 8,482.23 × 1,758.30
  4. Step 4: Simplify right side
    5,653.86x = 14,914,305.01
  5. Step 5: Solve for x
    x = 14,914,305.01/5,653.86
  6. Step 6: Final answer
    x = 2,637.90

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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.