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Finding the Fourth Proportional to 4,815.64, 7,223.66 and 2,352.63

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Solution

The fourth proportional to 4,815.64, 7,223.66 and 2,352.63 is: 3,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.64 : 7,223.66 = 2,352.63 : x
  2. Step 2: Convert to fraction form
    4,815.64/7,223.66 = 2,352.63/x
  3. Step 3: Cross multiply
    4,815.64x = 7,223.66 × 2,352.63
  4. Step 4: Simplify right side
    4,815.64x = 16,994,599.23
  5. Step 5: Solve for x
    x = 16,994,599.23/4,815.64
  6. Step 6: Final answer
    x = 3,529.04

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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.