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Finding the Fourth Proportional to 5,486.40, 8,210.16 and 3,731.58

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Solution

The fourth proportional to 5,486.40, 8,210.16 and 3,731.58 is: 5,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.40 : 8,210.16 = 3,731.58 : x
  2. Step 2: Convert to fraction form
    5,486.40/8,210.16 = 3,731.58/x
  3. Step 3: Cross multiply
    5,486.40x = 8,210.16 × 3,731.58
  4. Step 4: Simplify right side
    5,486.40x = 30,636,868.85
  5. Step 5: Solve for x
    x = 30,636,868.85/5,486.40
  6. Step 6: Final answer
    x = 5,584.15

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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.