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Finding the Fourth Proportional to 3,315.82, 4,973.73 and 1,007.32

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Solution

The fourth proportional to 3,315.82, 4,973.73 and 1,007.32 is: 1,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.82 : 4,973.73 = 1,007.32 : x
  2. Step 2: Convert to fraction form
    3,315.82/4,973.73 = 1,007.32/x
  3. Step 3: Cross multiply
    3,315.82x = 4,973.73 × 1,007.32
  4. Step 4: Simplify right side
    3,315.82x = 5,010,137.70
  5. Step 5: Solve for x
    x = 5,010,137.70/3,315.82
  6. Step 6: Final answer
    x = 1,510.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.