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Finding the Fourth Proportional to 4,645.44, 6,409.96 and 2,655.95

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Solution

The fourth proportional to 4,645.44, 6,409.96 and 2,655.95 is: 3,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.44 : 6,409.96 = 2,655.95 : x
  2. Step 2: Convert to fraction form
    4,645.44/6,409.96 = 2,655.95/x
  3. Step 3: Cross multiply
    4,645.44x = 6,409.96 × 2,655.95
  4. Step 4: Simplify right side
    4,645.44x = 17,024,547.11
  5. Step 5: Solve for x
    x = 17,024,547.11/4,645.44
  6. Step 6: Final answer
    x = 3,664.79

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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.