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Finding the Fourth Proportional to 3,038.05, 4,557.53 and 957.83

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Solution

The fourth proportional to 3,038.05, 4,557.53 and 957.83 is: 1,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.05 : 4,557.53 = 957.83 : x
  2. Step 2: Convert to fraction form
    3,038.05/4,557.53 = 957.83/x
  3. Step 3: Cross multiply
    3,038.05x = 4,557.53 × 957.83
  4. Step 4: Simplify right side
    3,038.05x = 4,365,345.56
  5. Step 5: Solve for x
    x = 4,365,345.56/3,038.05
  6. Step 6: Final answer
    x = 1,436.89

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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.