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Finding the Fourth Proportional to 3,800.04, 5,698.20 and 1,607.52

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Solution

The fourth proportional to 3,800.04, 5,698.20 and 1,607.52 is: 2,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.04 : 5,698.20 = 1,607.52 : x
  2. Step 2: Convert to fraction form
    3,800.04/5,698.20 = 1,607.52/x
  3. Step 3: Cross multiply
    3,800.04x = 5,698.20 × 1,607.52
  4. Step 4: Simplify right side
    3,800.04x = 9,159,970.46
  5. Step 5: Solve for x
    x = 9,159,970.46/3,800.04
  6. Step 6: Final answer
    x = 2,410.49

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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.