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Finding the Fourth Proportional to 3,189.47, 4,762.04 and 2,992.64

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Solution

The fourth proportional to 3,189.47, 4,762.04 and 2,992.64 is: 4,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.47 : 4,762.04 = 2,992.64 : x
  2. Step 2: Convert to fraction form
    3,189.47/4,762.04 = 2,992.64/x
  3. Step 3: Cross multiply
    3,189.47x = 4,762.04 × 2,992.64
  4. Step 4: Simplify right side
    3,189.47x = 14,251,032.61
  5. Step 5: Solve for x
    x = 14,251,032.61/3,189.47
  6. Step 6: Final answer
    x = 4,468.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.