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Finding the Fourth Proportional to 5,384.41, 7,430.54 and 3,288.53

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Solution

The fourth proportional to 5,384.41, 7,430.54 and 3,288.53 is: 4,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.41 : 7,430.54 = 3,288.53 : x
  2. Step 2: Convert to fraction form
    5,384.41/7,430.54 = 3,288.53/x
  3. Step 3: Cross multiply
    5,384.41x = 7,430.54 × 3,288.53
  4. Step 4: Simplify right side
    5,384.41x = 24,435,555.84
  5. Step 5: Solve for x
    x = 24,435,555.84/5,384.41
  6. Step 6: Final answer
    x = 4,538.21

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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.