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Finding the Fourth Proportional to 4,958.53, 7,437.81 and 1,670.74

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Solution

The fourth proportional to 4,958.53, 7,437.81 and 1,670.74 is: 2,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.53 : 7,437.81 = 1,670.74 : x
  2. Step 2: Convert to fraction form
    4,958.53/7,437.81 = 1,670.74/x
  3. Step 3: Cross multiply
    4,958.53x = 7,437.81 × 1,670.74
  4. Step 4: Simplify right side
    4,958.53x = 12,426,646.68
  5. Step 5: Solve for x
    x = 12,426,646.68/4,958.53
  6. Step 6: Final answer
    x = 2,506.12

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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.