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Finding the Fourth Proportional to 3,535, 4,878.36 and 2,137.72

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Solution

The fourth proportional to 3,535, 4,878.36 and 2,137.72 is: 2,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535 : 4,878.36 = 2,137.72 : x
  2. Step 2: Convert to fraction form
    3,535/4,878.36 = 2,137.72/x
  3. Step 3: Cross multiply
    3,535x = 4,878.36 × 2,137.72
  4. Step 4: Simplify right side
    3,535x = 10,428,567.74
  5. Step 5: Solve for x
    x = 10,428,567.74/3,535
  6. Step 6: Final answer
    x = 2,950.09

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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.