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Finding the Fourth Proportional to 3,594.57, 5,392.10 and 962.07

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Solution

The fourth proportional to 3,594.57, 5,392.10 and 962.07 is: 1,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.57 : 5,392.10 = 962.07 : x
  2. Step 2: Convert to fraction form
    3,594.57/5,392.10 = 962.07/x
  3. Step 3: Cross multiply
    3,594.57x = 5,392.10 × 962.07
  4. Step 4: Simplify right side
    3,594.57x = 5,187,559.83
  5. Step 5: Solve for x
    x = 5,187,559.83/3,594.57
  6. Step 6: Final answer
    x = 1,443.17

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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.