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Finding the Fourth Proportional to 5,466.64, 7,541.52 and 3,580.24

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Solution

The fourth proportional to 5,466.64, 7,541.52 and 3,580.24 is: 4,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.64 : 7,541.52 = 3,580.24 : x
  2. Step 2: Convert to fraction form
    5,466.64/7,541.52 = 3,580.24/x
  3. Step 3: Cross multiply
    5,466.64x = 7,541.52 × 3,580.24
  4. Step 4: Simplify right side
    5,466.64x = 27,000,451.56
  5. Step 5: Solve for x
    x = 27,000,451.56/5,466.64
  6. Step 6: Final answer
    x = 4,939.13

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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.