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Finding the Fourth Proportional to 5,642.64, 8,465.70 and 2,525.28

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Solution

The fourth proportional to 5,642.64, 8,465.70 and 2,525.28 is: 3,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.64 : 8,465.70 = 2,525.28 : x
  2. Step 2: Convert to fraction form
    5,642.64/8,465.70 = 2,525.28/x
  3. Step 3: Cross multiply
    5,642.64x = 8,465.70 × 2,525.28
  4. Step 4: Simplify right side
    5,642.64x = 21,378,262.90
  5. Step 5: Solve for x
    x = 21,378,262.90/5,642.64
  6. Step 6: Final answer
    x = 3,788.70

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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.