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Finding the Fourth Proportional to 4,921, 7,415.44 and 4,458.76

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Solution

The fourth proportional to 4,921, 7,415.44 and 4,458.76 is: 6,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921 : 7,415.44 = 4,458.76 : x
  2. Step 2: Convert to fraction form
    4,921/7,415.44 = 4,458.76/x
  3. Step 3: Cross multiply
    4,921x = 7,415.44 × 4,458.76
  4. Step 4: Simplify right side
    4,921x = 33,063,667.25
  5. Step 5: Solve for x
    x = 33,063,667.25/4,921
  6. Step 6: Final answer
    x = 6,718.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.