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Finding the Fourth Proportional to 4,950.76, 6,830.56 and 4,327.60

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Solution

The fourth proportional to 4,950.76, 6,830.56 and 4,327.60 is: 5,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.76 : 6,830.56 = 4,327.60 : x
  2. Step 2: Convert to fraction form
    4,950.76/6,830.56 = 4,327.60/x
  3. Step 3: Cross multiply
    4,950.76x = 6,830.56 × 4,327.60
  4. Step 4: Simplify right side
    4,950.76x = 29,559,931.46
  5. Step 5: Solve for x
    x = 29,559,931.46/4,950.76
  6. Step 6: Final answer
    x = 5,970.79

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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.