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Finding the Fourth Proportional to 3,535.88, 5,303.46 and 903.40

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Solution

The fourth proportional to 3,535.88, 5,303.46 and 903.40 is: 1,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.88 : 5,303.46 = 903.40 : x
  2. Step 2: Convert to fraction form
    3,535.88/5,303.46 = 903.40/x
  3. Step 3: Cross multiply
    3,535.88x = 5,303.46 × 903.40
  4. Step 4: Simplify right side
    3,535.88x = 4,791,145.76
  5. Step 5: Solve for x
    x = 4,791,145.76/3,535.88
  6. Step 6: Final answer
    x = 1,355.01

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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.