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Finding the Fourth Proportional to 4,597.74, 6,335.82 and 3,269.16

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Solution

The fourth proportional to 4,597.74, 6,335.82 and 3,269.16 is: 4,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.74 : 6,335.82 = 3,269.16 : x
  2. Step 2: Convert to fraction form
    4,597.74/6,335.82 = 3,269.16/x
  3. Step 3: Cross multiply
    4,597.74x = 6,335.82 × 3,269.16
  4. Step 4: Simplify right side
    4,597.74x = 20,712,809.31
  5. Step 5: Solve for x
    x = 20,712,809.31/4,597.74
  6. Step 6: Final answer
    x = 4,505.00

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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.