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Finding the Fourth Proportional to 4,953.12, 6,835.32 and 2,858.46

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Solution

The fourth proportional to 4,953.12, 6,835.32 and 2,858.46 is: 3,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.12 : 6,835.32 = 2,858.46 : x
  2. Step 2: Convert to fraction form
    4,953.12/6,835.32 = 2,858.46/x
  3. Step 3: Cross multiply
    4,953.12x = 6,835.32 × 2,858.46
  4. Step 4: Simplify right side
    4,953.12x = 19,538,488.81
  5. Step 5: Solve for x
    x = 19,538,488.81/4,953.12
  6. Step 6: Final answer
    x = 3,944.68

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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.