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Finding the Fourth Proportional to 5,303.25, 7,319.16 and 3,207.38

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Solution

The fourth proportional to 5,303.25, 7,319.16 and 3,207.38 is: 4,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.25 : 7,319.16 = 3,207.38 : x
  2. Step 2: Convert to fraction form
    5,303.25/7,319.16 = 3,207.38/x
  3. Step 3: Cross multiply
    5,303.25x = 7,319.16 × 3,207.38
  4. Step 4: Simplify right side
    5,303.25x = 23,475,290.81
  5. Step 5: Solve for x
    x = 23,475,290.81/5,303.25
  6. Step 6: Final answer
    x = 4,426.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.