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Finding the Fourth Proportional to 5,538.70, 8,300.94 and 2,417.86

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Solution

The fourth proportional to 5,538.70, 8,300.94 and 2,417.86 is: 3,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.70 : 8,300.94 = 2,417.86 : x
  2. Step 2: Convert to fraction form
    5,538.70/8,300.94 = 2,417.86/x
  3. Step 3: Cross multiply
    5,538.70x = 8,300.94 × 2,417.86
  4. Step 4: Simplify right side
    5,538.70x = 20,070,510.79
  5. Step 5: Solve for x
    x = 20,070,510.79/5,538.70
  6. Step 6: Final answer
    x = 3,623.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.