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Finding the Fourth Proportional to 5,984.41, 8,249.93 and 4,210.51

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Solution

The fourth proportional to 5,984.41, 8,249.93 and 4,210.51 is: 5,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.41 : 8,249.93 = 4,210.51 : x
  2. Step 2: Convert to fraction form
    5,984.41/8,249.93 = 4,210.51/x
  3. Step 3: Cross multiply
    5,984.41x = 8,249.93 × 4,210.51
  4. Step 4: Simplify right side
    5,984.41x = 34,736,412.76
  5. Step 5: Solve for x
    x = 34,736,412.76/5,984.41
  6. Step 6: Final answer
    x = 5,804.48

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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.