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Finding the Fourth Proportional to 3,548.96, 4,899.76 and 2,290.64

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Solution

The fourth proportional to 3,548.96, 4,899.76 and 2,290.64 is: 3,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.96 : 4,899.76 = 2,290.64 : x
  2. Step 2: Convert to fraction form
    3,548.96/4,899.76 = 2,290.64/x
  3. Step 3: Cross multiply
    3,548.96x = 4,899.76 × 2,290.64
  4. Step 4: Simplify right side
    3,548.96x = 11,223,586.25
  5. Step 5: Solve for x
    x = 11,223,586.25/3,548.96
  6. Step 6: Final answer
    x = 3,162.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.