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Finding the Fourth Proportional to 6,184.92, 8,533.44 and 4,854.51

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Solution

The fourth proportional to 6,184.92, 8,533.44 and 4,854.51 is: 6,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.92 : 8,533.44 = 4,854.51 : x
  2. Step 2: Convert to fraction form
    6,184.92/8,533.44 = 4,854.51/x
  3. Step 3: Cross multiply
    6,184.92x = 8,533.44 × 4,854.51
  4. Step 4: Simplify right side
    6,184.92x = 41,425,669.81
  5. Step 5: Solve for x
    x = 41,425,669.81/6,184.92
  6. Step 6: Final answer
    x = 6,697.85

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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.