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Finding the Fourth Proportional to 4,602.16, 6,904.88 and 2,261.92

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Solution

The fourth proportional to 4,602.16, 6,904.88 and 2,261.92 is: 3,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.16 : 6,904.88 = 2,261.92 : x
  2. Step 2: Convert to fraction form
    4,602.16/6,904.88 = 2,261.92/x
  3. Step 3: Cross multiply
    4,602.16x = 6,904.88 × 2,261.92
  4. Step 4: Simplify right side
    4,602.16x = 15,618,286.17
  5. Step 5: Solve for x
    x = 15,618,286.17/4,602.16
  6. Step 6: Final answer
    x = 3,393.69

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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.