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Finding the Fourth Proportional to 3,501.88, 5,253.02 and 904.75

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Solution

The fourth proportional to 3,501.88, 5,253.02 and 904.75 is: 1,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.88 : 5,253.02 = 904.75 : x
  2. Step 2: Convert to fraction form
    3,501.88/5,253.02 = 904.75/x
  3. Step 3: Cross multiply
    3,501.88x = 5,253.02 × 904.75
  4. Step 4: Simplify right side
    3,501.88x = 4,752,669.85
  5. Step 5: Solve for x
    x = 4,752,669.85/3,501.88
  6. Step 6: Final answer
    x = 1,357.18

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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.