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Finding the Fourth Proportional to 4,123.83, 6,181.83 and 1,526.16

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Solution

The fourth proportional to 4,123.83, 6,181.83 and 1,526.16 is: 2,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.83 : 6,181.83 = 1,526.16 : x
  2. Step 2: Convert to fraction form
    4,123.83/6,181.83 = 1,526.16/x
  3. Step 3: Cross multiply
    4,123.83x = 6,181.83 × 1,526.16
  4. Step 4: Simplify right side
    4,123.83x = 9,434,461.67
  5. Step 5: Solve for x
    x = 9,434,461.67/4,123.83
  6. Step 6: Final answer
    x = 2,287.79

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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.