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Finding the Fourth Proportional to 4,698.24, 7,046.76 and 1,410.48

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Solution

The fourth proportional to 4,698.24, 7,046.76 and 1,410.48 is: 2,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.24 : 7,046.76 = 1,410.48 : x
  2. Step 2: Convert to fraction form
    4,698.24/7,046.76 = 1,410.48/x
  3. Step 3: Cross multiply
    4,698.24x = 7,046.76 × 1,410.48
  4. Step 4: Simplify right side
    4,698.24x = 9,939,314.04
  5. Step 5: Solve for x
    x = 9,939,314.04/4,698.24
  6. Step 6: Final answer
    x = 2,115.54

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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.