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Finding the Fourth Proportional to 4,340.98, 6,511.48 and 1,054.08

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Solution

The fourth proportional to 4,340.98, 6,511.48 and 1,054.08 is: 1,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.98 : 6,511.48 = 1,054.08 : x
  2. Step 2: Convert to fraction form
    4,340.98/6,511.48 = 1,054.08/x
  3. Step 3: Cross multiply
    4,340.98x = 6,511.48 × 1,054.08
  4. Step 4: Simplify right side
    4,340.98x = 6,863,620.84
  5. Step 5: Solve for x
    x = 6,863,620.84/4,340.98
  6. Step 6: Final answer
    x = 1,581.12

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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.