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Finding the Fourth Proportional to 4,566.58, 6,306.15 and 3,361

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Solution

The fourth proportional to 4,566.58, 6,306.15 and 3,361 is: 4,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.58 : 6,306.15 = 3,361 : x
  2. Step 2: Convert to fraction form
    4,566.58/6,306.15 = 3,361/x
  3. Step 3: Cross multiply
    4,566.58x = 6,306.15 × 3,361
  4. Step 4: Simplify right side
    4,566.58x = 21,194,970.15
  5. Step 5: Solve for x
    x = 21,194,970.15/4,566.58
  6. Step 6: Final answer
    x = 4,641.32

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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.