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Finding the Fourth Proportional to 4,698.08, 7,046.35 and 1,410.59

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Solution

The fourth proportional to 4,698.08, 7,046.35 and 1,410.59 is: 2,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.08 : 7,046.35 = 1,410.59 : x
  2. Step 2: Convert to fraction form
    4,698.08/7,046.35 = 1,410.59/x
  3. Step 3: Cross multiply
    4,698.08x = 7,046.35 × 1,410.59
  4. Step 4: Simplify right side
    4,698.08x = 9,939,510.85
  5. Step 5: Solve for x
    x = 9,939,510.85/4,698.08
  6. Step 6: Final answer
    x = 2,115.66

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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.