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Finding the Fourth Proportional to 3,482.64, 5,223.51 and 885.42

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Solution

The fourth proportional to 3,482.64, 5,223.51 and 885.42 is: 1,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 5,223.51 = 885.42 : x
  2. Step 2: Convert to fraction form
    3,482.64/5,223.51 = 885.42/x
  3. Step 3: Cross multiply
    3,482.64x = 5,223.51 × 885.42
  4. Step 4: Simplify right side
    3,482.64x = 4,625,000.22
  5. Step 5: Solve for x
    x = 4,625,000.22/3,482.64
  6. Step 6: Final answer
    x = 1,328.02

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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.