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Finding the Fourth Proportional to 5,984.35, 8,249.85 and 4,210.45

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Solution

The fourth proportional to 5,984.35, 8,249.85 and 4,210.45 is: 5,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.35 : 8,249.85 = 4,210.45 : x
  2. Step 2: Convert to fraction form
    5,984.35/8,249.85 = 4,210.45/x
  3. Step 3: Cross multiply
    5,984.35x = 8,249.85 × 4,210.45
  4. Step 4: Simplify right side
    5,984.35x = 34,735,580.93
  5. Step 5: Solve for x
    x = 34,735,580.93/5,984.35
  6. Step 6: Final answer
    x = 5,804.40

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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.