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Finding the Fourth Proportional to 3,798.50, 5,698.36 and 1,607.25

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Solution

The fourth proportional to 3,798.50, 5,698.36 and 1,607.25 is: 2,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.50 : 5,698.36 = 1,607.25 : x
  2. Step 2: Convert to fraction form
    3,798.50/5,698.36 = 1,607.25/x
  3. Step 3: Cross multiply
    3,798.50x = 5,698.36 × 1,607.25
  4. Step 4: Simplify right side
    3,798.50x = 9,158,685.09
  5. Step 5: Solve for x
    x = 9,158,685.09/3,798.50
  6. Step 6: Final answer
    x = 2,411.13

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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.