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Finding the Fourth Proportional to 5,733.04, 7,911.13 and 3,180.88

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Solution

The fourth proportional to 5,733.04, 7,911.13 and 3,180.88 is: 4,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.04 : 7,911.13 = 3,180.88 : x
  2. Step 2: Convert to fraction form
    5,733.04/7,911.13 = 3,180.88/x
  3. Step 3: Cross multiply
    5,733.04x = 7,911.13 × 3,180.88
  4. Step 4: Simplify right side
    5,733.04x = 25,164,307.69
  5. Step 5: Solve for x
    x = 25,164,307.69/5,733.04
  6. Step 6: Final answer
    x = 4,389.35

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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.