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Finding the Fourth Proportional to 3,164.33, 4,746.47 and 1,315.44

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Solution

The fourth proportional to 3,164.33, 4,746.47 and 1,315.44 is: 1,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.33 : 4,746.47 = 1,315.44 : x
  2. Step 2: Convert to fraction form
    3,164.33/4,746.47 = 1,315.44/x
  3. Step 3: Cross multiply
    3,164.33x = 4,746.47 × 1,315.44
  4. Step 4: Simplify right side
    3,164.33x = 6,243,689.92
  5. Step 5: Solve for x
    x = 6,243,689.92/3,164.33
  6. Step 6: Final answer
    x = 1,973.15

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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.