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Finding the Fourth Proportional to 3,332.96, 4,998.34 and 1,577.72

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Solution

The fourth proportional to 3,332.96, 4,998.34 and 1,577.72 is: 2,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.96 : 4,998.34 = 1,577.72 : x
  2. Step 2: Convert to fraction form
    3,332.96/4,998.34 = 1,577.72/x
  3. Step 3: Cross multiply
    3,332.96x = 4,998.34 × 1,577.72
  4. Step 4: Simplify right side
    3,332.96x = 7,885,980.98
  5. Step 5: Solve for x
    x = 7,885,980.98/3,332.96
  6. Step 6: Final answer
    x = 2,366.06

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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.