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Finding the Fourth Proportional to 5,341.60, 8,008.56 and 2,742.40

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Solution

The fourth proportional to 5,341.60, 8,008.56 and 2,742.40 is: 4,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.60 : 8,008.56 = 2,742.40 : x
  2. Step 2: Convert to fraction form
    5,341.60/8,008.56 = 2,742.40/x
  3. Step 3: Cross multiply
    5,341.60x = 8,008.56 × 2,742.40
  4. Step 4: Simplify right side
    5,341.60x = 21,962,674.94
  5. Step 5: Solve for x
    x = 21,962,674.94/5,341.60
  6. Step 6: Final answer
    x = 4,111.63

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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.