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Finding the Fourth Proportional to 5,054.93, 7,577.61 and 1,765.89

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Solution

The fourth proportional to 5,054.93, 7,577.61 and 1,765.89 is: 2,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.93 : 7,577.61 = 1,765.89 : x
  2. Step 2: Convert to fraction form
    5,054.93/7,577.61 = 1,765.89/x
  3. Step 3: Cross multiply
    5,054.93x = 7,577.61 × 1,765.89
  4. Step 4: Simplify right side
    5,054.93x = 13,381,225.72
  5. Step 5: Solve for x
    x = 13,381,225.72/5,054.93
  6. Step 6: Final answer
    x = 2,647.16

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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.