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Finding the Fourth Proportional to 3,531, 5,295.48 and 1,065.24

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Solution

The fourth proportional to 3,531, 5,295.48 and 1,065.24 is: 1,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531 : 5,295.48 = 1,065.24 : x
  2. Step 2: Convert to fraction form
    3,531/5,295.48 = 1,065.24/x
  3. Step 3: Cross multiply
    3,531x = 5,295.48 × 1,065.24
  4. Step 4: Simplify right side
    3,531x = 5,640,957.12
  5. Step 5: Solve for x
    x = 5,640,957.12/3,531
  6. Step 6: Final answer
    x = 1,597.55

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Double scale
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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.