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Finding the Fourth Proportional to 3,506.51, 5,259.75 and 874.01

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Solution

The fourth proportional to 3,506.51, 5,259.75 and 874.01 is: 1,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.51 : 5,259.75 = 874.01 : x
  2. Step 2: Convert to fraction form
    3,506.51/5,259.75 = 874.01/x
  3. Step 3: Cross multiply
    3,506.51x = 5,259.75 × 874.01
  4. Step 4: Simplify right side
    3,506.51x = 4,597,047.80
  5. Step 5: Solve for x
    x = 4,597,047.80/3,506.51
  6. Step 6: Final answer
    x = 1,311.00

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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.