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Finding the Fourth Proportional to 5,312.56, 7,330.52 and 3,074

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Solution

The fourth proportional to 5,312.56, 7,330.52 and 3,074 is: 4,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.56 : 7,330.52 = 3,074 : x
  2. Step 2: Convert to fraction form
    5,312.56/7,330.52 = 3,074/x
  3. Step 3: Cross multiply
    5,312.56x = 7,330.52 × 3,074
  4. Step 4: Simplify right side
    5,312.56x = 22,534,018.48
  5. Step 5: Solve for x
    x = 22,534,018.48/5,312.56
  6. Step 6: Final answer
    x = 4,241.65

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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.