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Finding the Fourth Proportional to 3,668.54, 5,498.76 and 1,588.19

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Solution

The fourth proportional to 3,668.54, 5,498.76 and 1,588.19 is: 2,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.54 : 5,498.76 = 1,588.19 : x
  2. Step 2: Convert to fraction form
    3,668.54/5,498.76 = 1,588.19/x
  3. Step 3: Cross multiply
    3,668.54x = 5,498.76 × 1,588.19
  4. Step 4: Simplify right side
    3,668.54x = 8,733,075.64
  5. Step 5: Solve for x
    x = 8,733,075.64/3,668.54
  6. Step 6: Final answer
    x = 2,380.53

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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.