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Finding the Fourth Proportional to 5,642.66, 8,464.50 and 1,482.60

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Solution

The fourth proportional to 5,642.66, 8,464.50 and 1,482.60 is: 2,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.66 : 8,464.50 = 1,482.60 : x
  2. Step 2: Convert to fraction form
    5,642.66/8,464.50 = 1,482.60/x
  3. Step 3: Cross multiply
    5,642.66x = 8,464.50 × 1,482.60
  4. Step 4: Simplify right side
    5,642.66x = 12,549,499.44
  5. Step 5: Solve for x
    x = 12,549,499.44/5,642.66
  6. Step 6: Final answer
    x = 2,224.04

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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.