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Finding the Fourth Proportional to 4,566.54, 6,301.83 and 2,470.66

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Solution

The fourth proportional to 4,566.54, 6,301.83 and 2,470.66 is: 3,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.54 : 6,301.83 = 2,470.66 : x
  2. Step 2: Convert to fraction form
    4,566.54/6,301.83 = 2,470.66/x
  3. Step 3: Cross multiply
    4,566.54x = 6,301.83 × 2,470.66
  4. Step 4: Simplify right side
    4,566.54x = 15,569,679.31
  5. Step 5: Solve for x
    x = 15,569,679.31/4,566.54
  6. Step 6: Final answer
    x = 3,409.51

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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.