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Finding the Fourth Proportional to 5,390.50, 7,433.67 and 3,502.59

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Solution

The fourth proportional to 5,390.50, 7,433.67 and 3,502.59 is: 4,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.50 : 7,433.67 = 3,502.59 : x
  2. Step 2: Convert to fraction form
    5,390.50/7,433.67 = 3,502.59/x
  3. Step 3: Cross multiply
    5,390.50x = 7,433.67 × 3,502.59
  4. Step 4: Simplify right side
    5,390.50x = 26,037,125.28
  5. Step 5: Solve for x
    x = 26,037,125.28/5,390.50
  6. Step 6: Final answer
    x = 4,830.19

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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.