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Finding the Fourth Proportional to 5,612.56, 7,743.18 and 3,374.98

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Solution

The fourth proportional to 5,612.56, 7,743.18 and 3,374.98 is: 4,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.56 : 7,743.18 = 3,374.98 : x
  2. Step 2: Convert to fraction form
    5,612.56/7,743.18 = 3,374.98/x
  3. Step 3: Cross multiply
    5,612.56x = 7,743.18 × 3,374.98
  4. Step 4: Simplify right side
    5,612.56x = 26,133,060.76
  5. Step 5: Solve for x
    x = 26,133,060.76/5,612.56
  6. Step 6: Final answer
    x = 4,656.17

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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.