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Finding the Fourth Proportional to 5,582.25, 7,709.99 and 3,716.01

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Solution

The fourth proportional to 5,582.25, 7,709.99 and 3,716.01 is: 5,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.25 : 7,709.99 = 3,716.01 : x
  2. Step 2: Convert to fraction form
    5,582.25/7,709.99 = 3,716.01/x
  3. Step 3: Cross multiply
    5,582.25x = 7,709.99 × 3,716.01
  4. Step 4: Simplify right side
    5,582.25x = 28,650,381.36
  5. Step 5: Solve for x
    x = 28,650,381.36/5,582.25
  6. Step 6: Final answer
    x = 5,132.41

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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.