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Finding the Fourth Proportional to 4,315.34, 6,473.05 and 1,393.65

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Solution

The fourth proportional to 4,315.34, 6,473.05 and 1,393.65 is: 2,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.34 : 6,473.05 = 1,393.65 : x
  2. Step 2: Convert to fraction form
    4,315.34/6,473.05 = 1,393.65/x
  3. Step 3: Cross multiply
    4,315.34x = 6,473.05 × 1,393.65
  4. Step 4: Simplify right side
    4,315.34x = 9,021,162.65
  5. Step 5: Solve for x
    x = 9,021,162.65/4,315.34
  6. Step 6: Final answer
    x = 2,090.49

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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.