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Finding the Fourth Proportional to 4,597.40, 6,348.30 and 3,409.40

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Solution

The fourth proportional to 4,597.40, 6,348.30 and 3,409.40 is: 4,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.40 : 6,348.30 = 3,409.40 : x
  2. Step 2: Convert to fraction form
    4,597.40/6,348.30 = 3,409.40/x
  3. Step 3: Cross multiply
    4,597.40x = 6,348.30 × 3,409.40
  4. Step 4: Simplify right side
    4,597.40x = 21,643,894.02
  5. Step 5: Solve for x
    x = 21,643,894.02/4,597.40
  6. Step 6: Final answer
    x = 4,707.86

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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.