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Finding the Fourth Proportional to 4,957.74, 7,436.64 and 1,670.58

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Solution

The fourth proportional to 4,957.74, 7,436.64 and 1,670.58 is: 2,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.74 : 7,436.64 = 1,670.58 : x
  2. Step 2: Convert to fraction form
    4,957.74/7,436.64 = 1,670.58/x
  3. Step 3: Cross multiply
    4,957.74x = 7,436.64 × 1,670.58
  4. Step 4: Simplify right side
    4,957.74x = 12,423,502.05
  5. Step 5: Solve for x
    x = 12,423,502.05/4,957.74
  6. Step 6: Final answer
    x = 2,505.88

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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.