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Finding the Fourth Proportional to 3,002.52, 4,497.28 and 1,904.16

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Solution

The fourth proportional to 3,002.52, 4,497.28 and 1,904.16 is: 2,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.52 : 4,497.28 = 1,904.16 : x
  2. Step 2: Convert to fraction form
    3,002.52/4,497.28 = 1,904.16/x
  3. Step 3: Cross multiply
    3,002.52x = 4,497.28 × 1,904.16
  4. Step 4: Simplify right side
    3,002.52x = 8,563,540.68
  5. Step 5: Solve for x
    x = 8,563,540.68/3,002.52
  6. Step 6: Final answer
    x = 2,852.12

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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.