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Finding the Fourth Proportional to 4,653.30, 6,431.76 and 4,089.54

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Solution

The fourth proportional to 4,653.30, 6,431.76 and 4,089.54 is: 5,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.30 : 6,431.76 = 4,089.54 : x
  2. Step 2: Convert to fraction form
    4,653.30/6,431.76 = 4,089.54/x
  3. Step 3: Cross multiply
    4,653.30x = 6,431.76 × 4,089.54
  4. Step 4: Simplify right side
    4,653.30x = 26,302,939.79
  5. Step 5: Solve for x
    x = 26,302,939.79/4,653.30
  6. Step 6: Final answer
    x = 5,652.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.