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Finding the Fourth Proportional to 5,051.56, 7,577.76 and 1,353.76

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Solution

The fourth proportional to 5,051.56, 7,577.76 and 1,353.76 is: 2,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.56 : 7,577.76 = 1,353.76 : x
  2. Step 2: Convert to fraction form
    5,051.56/7,577.76 = 1,353.76/x
  3. Step 3: Cross multiply
    5,051.56x = 7,577.76 × 1,353.76
  4. Step 4: Simplify right side
    5,051.56x = 10,258,468.38
  5. Step 5: Solve for x
    x = 10,258,468.38/5,051.56
  6. Step 6: Final answer
    x = 2,030.75

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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.