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Finding the Fourth Proportional to 4,352.77, 6,527.12 and 1,577.51

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Solution

The fourth proportional to 4,352.77, 6,527.12 and 1,577.51 is: 2,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.77 : 6,527.12 = 1,577.51 : x
  2. Step 2: Convert to fraction form
    4,352.77/6,527.12 = 1,577.51/x
  3. Step 3: Cross multiply
    4,352.77x = 6,527.12 × 1,577.51
  4. Step 4: Simplify right side
    4,352.77x = 10,296,581.02
  5. Step 5: Solve for x
    x = 10,296,581.02/4,352.77
  6. Step 6: Final answer
    x = 2,365.52

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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.