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Finding the Fourth Proportional to 4,612.34, 6,365.01 and 2,516.66

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Solution

The fourth proportional to 4,612.34, 6,365.01 and 2,516.66 is: 3,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.34 : 6,365.01 = 2,516.66 : x
  2. Step 2: Convert to fraction form
    4,612.34/6,365.01 = 2,516.66/x
  3. Step 3: Cross multiply
    4,612.34x = 6,365.01 × 2,516.66
  4. Step 4: Simplify right side
    4,612.34x = 16,018,566.07
  5. Step 5: Solve for x
    x = 16,018,566.07/4,612.34
  6. Step 6: Final answer
    x = 3,472.98

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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.