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Finding the Fourth Proportional to 4,698.41, 7,048.43 and 1,578.72

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Solution

The fourth proportional to 4,698.41, 7,048.43 and 1,578.72 is: 2,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.41 : 7,048.43 = 1,578.72 : x
  2. Step 2: Convert to fraction form
    4,698.41/7,048.43 = 1,578.72/x
  3. Step 3: Cross multiply
    4,698.41x = 7,048.43 × 1,578.72
  4. Step 4: Simplify right side
    4,698.41x = 11,127,530.75
  5. Step 5: Solve for x
    x = 11,127,530.75/4,698.41
  6. Step 6: Final answer
    x = 2,368.36

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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.