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Finding the Fourth Proportional to 3,670.44, 5,505.59 and 897.04

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Solution

The fourth proportional to 3,670.44, 5,505.59 and 897.04 is: 1,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.44 : 5,505.59 = 897.04 : x
  2. Step 2: Convert to fraction form
    3,670.44/5,505.59 = 897.04/x
  3. Step 3: Cross multiply
    3,670.44x = 5,505.59 × 897.04
  4. Step 4: Simplify right side
    3,670.44x = 4,938,734.45
  5. Step 5: Solve for x
    x = 4,938,734.45/3,670.44
  6. Step 6: Final answer
    x = 1,345.54

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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.