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Finding the Fourth Proportional to 4,853, 7,312.55 and 4,322.56

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Solution

The fourth proportional to 4,853, 7,312.55 and 4,322.56 is: 6,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853 : 7,312.55 = 4,322.56 : x
  2. Step 2: Convert to fraction form
    4,853/7,312.55 = 4,322.56/x
  3. Step 3: Cross multiply
    4,853x = 7,312.55 × 4,322.56
  4. Step 4: Simplify right side
    4,853x = 31,608,936.13
  5. Step 5: Solve for x
    x = 31,608,936.13/4,853
  6. Step 6: Final answer
    x = 6,513.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.