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Finding the Fourth Proportional to 5,617.64, 8,426.48 and 5,482.32

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Solution

The fourth proportional to 5,617.64, 8,426.48 and 5,482.32 is: 8,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.64 : 8,426.48 = 5,482.32 : x
  2. Step 2: Convert to fraction form
    5,617.64/8,426.48 = 5,482.32/x
  3. Step 3: Cross multiply
    5,617.64x = 8,426.48 × 5,482.32
  4. Step 4: Simplify right side
    5,617.64x = 46,196,659.83
  5. Step 5: Solve for x
    x = 46,196,659.83/5,617.64
  6. Step 6: Final answer
    x = 8,223.50

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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.