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Finding the Fourth Proportional to 3,798.41, 5,698.22 and 1,607.16

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Solution

The fourth proportional to 3,798.41, 5,698.22 and 1,607.16 is: 2,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.41 : 5,698.22 = 1,607.16 : x
  2. Step 2: Convert to fraction form
    3,798.41/5,698.22 = 1,607.16/x
  3. Step 3: Cross multiply
    3,798.41x = 5,698.22 × 1,607.16
  4. Step 4: Simplify right side
    3,798.41x = 9,157,951.26
  5. Step 5: Solve for x
    x = 9,157,951.26/3,798.41
  6. Step 6: Final answer
    x = 2,411.00

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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.