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Finding the Fourth Proportional to 4,776.37, 7,164.63 and 1,656.47

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Solution

The fourth proportional to 4,776.37, 7,164.63 and 1,656.47 is: 2,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.37 : 7,164.63 = 1,656.47 : x
  2. Step 2: Convert to fraction form
    4,776.37/7,164.63 = 1,656.47/x
  3. Step 3: Cross multiply
    4,776.37x = 7,164.63 × 1,656.47
  4. Step 4: Simplify right side
    4,776.37x = 11,867,994.66
  5. Step 5: Solve for x
    x = 11,867,994.66/4,776.37
  6. Step 6: Final answer
    x = 2,484.73

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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.