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Finding the Fourth Proportional to 3,731.66, 5,597.35 and 958.35

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Solution

The fourth proportional to 3,731.66, 5,597.35 and 958.35 is: 1,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.66 : 5,597.35 = 958.35 : x
  2. Step 2: Convert to fraction form
    3,731.66/5,597.35 = 958.35/x
  3. Step 3: Cross multiply
    3,731.66x = 5,597.35 × 958.35
  4. Step 4: Simplify right side
    3,731.66x = 5,364,220.37
  5. Step 5: Solve for x
    x = 5,364,220.37/3,731.66
  6. Step 6: Final answer
    x = 1,437.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.