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Finding the Fourth Proportional to 4,606.63, 6,357.08 and 2,510.75

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Solution

The fourth proportional to 4,606.63, 6,357.08 and 2,510.75 is: 3,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.63 : 6,357.08 = 2,510.75 : x
  2. Step 2: Convert to fraction form
    4,606.63/6,357.08 = 2,510.75/x
  3. Step 3: Cross multiply
    4,606.63x = 6,357.08 × 2,510.75
  4. Step 4: Simplify right side
    4,606.63x = 15,961,060.78
  5. Step 5: Solve for x
    x = 15,961,060.78/4,606.63
  6. Step 6: Final answer
    x = 3,464.80

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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.