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Finding the Fourth Proportional to 4,153.67, 5,731.98 and 2,290.67

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Solution

The fourth proportional to 4,153.67, 5,731.98 and 2,290.67 is: 3,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.67 : 5,731.98 = 2,290.67 : x
  2. Step 2: Convert to fraction form
    4,153.67/5,731.98 = 2,290.67/x
  3. Step 3: Cross multiply
    4,153.67x = 5,731.98 × 2,290.67
  4. Step 4: Simplify right side
    4,153.67x = 13,130,074.63
  5. Step 5: Solve for x
    x = 13,130,074.63/4,153.67
  6. Step 6: Final answer
    x = 3,161.08

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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.