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Finding the Fourth Proportional to 4,698.32, 7,047.84 and 1,578.35

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Solution

The fourth proportional to 4,698.32, 7,047.84 and 1,578.35 is: 2,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.32 : 7,047.84 = 1,578.35 : x
  2. Step 2: Convert to fraction form
    4,698.32/7,047.84 = 1,578.35/x
  3. Step 3: Cross multiply
    4,698.32x = 7,047.84 × 1,578.35
  4. Step 4: Simplify right side
    4,698.32x = 11,123,923.02
  5. Step 5: Solve for x
    x = 11,123,923.02/4,698.32
  6. Step 6: Final answer
    x = 2,367.64

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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.