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Finding the Fourth Proportional to 3,465.68, 5,194.94 and 1,615.28

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Solution

The fourth proportional to 3,465.68, 5,194.94 and 1,615.28 is: 2,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.68 : 5,194.94 = 1,615.28 : x
  2. Step 2: Convert to fraction form
    3,465.68/5,194.94 = 1,615.28/x
  3. Step 3: Cross multiply
    3,465.68x = 5,194.94 × 1,615.28
  4. Step 4: Simplify right side
    3,465.68x = 8,391,248.63
  5. Step 5: Solve for x
    x = 8,391,248.63/3,465.68
  6. Step 6: Final answer
    x = 2,421.25

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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.