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Finding the Fourth Proportional to 3,535, 5,265.16 and 3,349.96

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Solution

The fourth proportional to 3,535, 5,265.16 and 3,349.96 is: 4,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535 : 5,265.16 = 3,349.96 : x
  2. Step 2: Convert to fraction form
    3,535/5,265.16 = 3,349.96/x
  3. Step 3: Cross multiply
    3,535x = 5,265.16 × 3,349.96
  4. Step 4: Simplify right side
    3,535x = 17,638,075.39
  5. Step 5: Solve for x
    x = 17,638,075.39/3,535
  6. Step 6: Final answer
    x = 4,989.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.