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Finding the Fourth Proportional to 4,871.64, 7,308.16 and 1,538.76

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Solution

The fourth proportional to 4,871.64, 7,308.16 and 1,538.76 is: 2,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.64 : 7,308.16 = 1,538.76 : x
  2. Step 2: Convert to fraction form
    4,871.64/7,308.16 = 1,538.76/x
  3. Step 3: Cross multiply
    4,871.64x = 7,308.16 × 1,538.76
  4. Step 4: Simplify right side
    4,871.64x = 11,245,504.28
  5. Step 5: Solve for x
    x = 11,245,504.28/4,871.64
  6. Step 6: Final answer
    x = 2,308.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.