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Finding the Fourth Proportional to 5,490.96, 7,577.52 and 2,973.08

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Solution

The fourth proportional to 5,490.96, 7,577.52 and 2,973.08 is: 4,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.96 : 7,577.52 = 2,973.08 : x
  2. Step 2: Convert to fraction form
    5,490.96/7,577.52 = 2,973.08/x
  3. Step 3: Cross multiply
    5,490.96x = 7,577.52 × 2,973.08
  4. Step 4: Simplify right side
    5,490.96x = 22,528,529.70
  5. Step 5: Solve for x
    x = 22,528,529.70/5,490.96
  6. Step 6: Final answer
    x = 4,102.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.