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Finding the Fourth Proportional to 4,773.74, 7,158.83 and 1,652.91

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Solution

The fourth proportional to 4,773.74, 7,158.83 and 1,652.91 is: 2,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.74 : 7,158.83 = 1,652.91 : x
  2. Step 2: Convert to fraction form
    4,773.74/7,158.83 = 1,652.91/x
  3. Step 3: Cross multiply
    4,773.74x = 7,158.83 × 1,652.91
  4. Step 4: Simplify right side
    4,773.74x = 11,832,875.88
  5. Step 5: Solve for x
    x = 11,832,875.88/4,773.74
  6. Step 6: Final answer
    x = 2,478.75

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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.