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Finding the Fourth Proportional to 3,535.98, 5,302.71 and 1,036.47

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Solution

The fourth proportional to 3,535.98, 5,302.71 and 1,036.47 is: 1,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.98 : 5,302.71 = 1,036.47 : x
  2. Step 2: Convert to fraction form
    3,535.98/5,302.71 = 1,036.47/x
  3. Step 3: Cross multiply
    3,535.98x = 5,302.71 × 1,036.47
  4. Step 4: Simplify right side
    3,535.98x = 5,496,099.83
  5. Step 5: Solve for x
    x = 5,496,099.83/3,535.98
  6. Step 6: Final answer
    x = 1,554.34

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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.