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Finding the Fourth Proportional to 4,698.54, 7,048.38 and 1,535.90

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Solution

The fourth proportional to 4,698.54, 7,048.38 and 1,535.90 is: 2,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.54 : 7,048.38 = 1,535.90 : x
  2. Step 2: Convert to fraction form
    4,698.54/7,048.38 = 1,535.90/x
  3. Step 3: Cross multiply
    4,698.54x = 7,048.38 × 1,535.90
  4. Step 4: Simplify right side
    4,698.54x = 10,825,606.84
  5. Step 5: Solve for x
    x = 10,825,606.84/4,698.54
  6. Step 6: Final answer
    x = 2,304.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.