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Finding the Fourth Proportional to 3,482.44, 5,223.66 and 1,429

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Solution

The fourth proportional to 3,482.44, 5,223.66 and 1,429 is: 2,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.44 : 5,223.66 = 1,429 : x
  2. Step 2: Convert to fraction form
    3,482.44/5,223.66 = 1,429/x
  3. Step 3: Cross multiply
    3,482.44x = 5,223.66 × 1,429
  4. Step 4: Simplify right side
    3,482.44x = 7,464,610.14
  5. Step 5: Solve for x
    x = 7,464,610.14/3,482.44
  6. Step 6: Final answer
    x = 2,143.50

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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.