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Finding the Fourth Proportional to 4,956.66, 7,428.57 and 3,782.33

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Solution

The fourth proportional to 4,956.66, 7,428.57 and 3,782.33 is: 5,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.66 : 7,428.57 = 3,782.33 : x
  2. Step 2: Convert to fraction form
    4,956.66/7,428.57 = 3,782.33/x
  3. Step 3: Cross multiply
    4,956.66x = 7,428.57 × 3,782.33
  4. Step 4: Simplify right side
    4,956.66x = 28,097,303.17
  5. Step 5: Solve for x
    x = 28,097,303.17/4,956.66
  6. Step 6: Final answer
    x = 5,668.60

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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.