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Finding the Fourth Proportional to 3,935.04, 5,430.38 and 2,256.51

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Solution

The fourth proportional to 3,935.04, 5,430.38 and 2,256.51 is: 3,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.04 : 5,430.38 = 2,256.51 : x
  2. Step 2: Convert to fraction form
    3,935.04/5,430.38 = 2,256.51/x
  3. Step 3: Cross multiply
    3,935.04x = 5,430.38 × 2,256.51
  4. Step 4: Simplify right side
    3,935.04x = 12,253,695.49
  5. Step 5: Solve for x
    x = 12,253,695.49/3,935.04
  6. Step 6: Final answer
    x = 3,114.00

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Why These Related Problems?

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