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Finding the Fourth Proportional to 3,511.16, 5,266.80 and 1,046.00

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Solution

The fourth proportional to 3,511.16, 5,266.80 and 1,046.00 is: 1,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.16 : 5,266.80 = 1,046.00 : x
  2. Step 2: Convert to fraction form
    3,511.16/5,266.80 = 1,046.00/x
  3. Step 3: Cross multiply
    3,511.16x = 5,266.80 × 1,046.00
  4. Step 4: Simplify right side
    3,511.16x = 5,509,075.62
  5. Step 5: Solve for x
    x = 5,509,075.62/3,511.16
  6. Step 6: Final answer
    x = 1,569.02

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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.