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Finding the Fourth Proportional to 5,051.36, 7,577.06 and 1,541.36

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Solution

The fourth proportional to 5,051.36, 7,577.06 and 1,541.36 is: 2,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.36 : 7,577.06 = 1,541.36 : x
  2. Step 2: Convert to fraction form
    5,051.36/7,577.06 = 1,541.36/x
  3. Step 3: Cross multiply
    5,051.36x = 7,577.06 × 1,541.36
  4. Step 4: Simplify right side
    5,051.36x = 11,678,977.20
  5. Step 5: Solve for x
    x = 11,678,977.20/5,051.36
  6. Step 6: Final answer
    x = 2,312.05

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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.