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Finding the Fourth Proportional to 5,624.32, 7,762.74 and 3,736.06

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Solution

The fourth proportional to 5,624.32, 7,762.74 and 3,736.06 is: 5,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.32 : 7,762.74 = 3,736.06 : x
  2. Step 2: Convert to fraction form
    5,624.32/7,762.74 = 3,736.06/x
  3. Step 3: Cross multiply
    5,624.32x = 7,762.74 × 3,736.06
  4. Step 4: Simplify right side
    5,624.32x = 29,002,062.40
  5. Step 5: Solve for x
    x = 29,002,062.40/5,624.32
  6. Step 6: Final answer
    x = 5,156.55

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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.