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Finding the Fourth Proportional to 4,655.57, 6,428.84 and 3,474.59

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Solution

The fourth proportional to 4,655.57, 6,428.84 and 3,474.59 is: 4,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.57 : 6,428.84 = 3,474.59 : x
  2. Step 2: Convert to fraction form
    4,655.57/6,428.84 = 3,474.59/x
  3. Step 3: Cross multiply
    4,655.57x = 6,428.84 × 3,474.59
  4. Step 4: Simplify right side
    4,655.57x = 22,337,533.66
  5. Step 5: Solve for x
    x = 22,337,533.66/4,655.57
  6. Step 6: Final answer
    x = 4,798.03

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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.