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Finding the Fourth Proportional to 3,590.46, 4,953.74 and 2,174.66

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Solution

The fourth proportional to 3,590.46, 4,953.74 and 2,174.66 is: 3,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.46 : 4,953.74 = 2,174.66 : x
  2. Step 2: Convert to fraction form
    3,590.46/4,953.74 = 2,174.66/x
  3. Step 3: Cross multiply
    3,590.46x = 4,953.74 × 2,174.66
  4. Step 4: Simplify right side
    3,590.46x = 10,772,700.23
  5. Step 5: Solve for x
    x = 10,772,700.23/3,590.46
  6. Step 6: Final answer
    x = 3,000.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.