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Finding the Fourth Proportional to 4,715.40, 6,507.34 and 2,827.28

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Solution

The fourth proportional to 4,715.40, 6,507.34 and 2,827.28 is: 3,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.40 : 6,507.34 = 2,827.28 : x
  2. Step 2: Convert to fraction form
    4,715.40/6,507.34 = 2,827.28/x
  3. Step 3: Cross multiply
    4,715.40x = 6,507.34 × 2,827.28
  4. Step 4: Simplify right side
    4,715.40x = 18,398,072.24
  5. Step 5: Solve for x
    x = 18,398,072.24/4,715.40
  6. Step 6: Final answer
    x = 3,901.70

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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.