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Finding the Fourth Proportional to 5,303.58, 7,317.78 and 3,207.66

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Solution

The fourth proportional to 5,303.58, 7,317.78 and 3,207.66 is: 4,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.58 : 7,317.78 = 3,207.66 : x
  2. Step 2: Convert to fraction form
    5,303.58/7,317.78 = 3,207.66/x
  3. Step 3: Cross multiply
    5,303.58x = 7,317.78 × 3,207.66
  4. Step 4: Simplify right side
    5,303.58x = 23,472,950.19
  5. Step 5: Solve for x
    x = 23,472,950.19/5,303.58
  6. Step 6: Final answer
    x = 4,425.87

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