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Finding the Fourth Proportional to 6,278.29, 8,671.70 and 4,597.34

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Solution

The fourth proportional to 6,278.29, 8,671.70 and 4,597.34 is: 6,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.29 : 8,671.70 = 4,597.34 : x
  2. Step 2: Convert to fraction form
    6,278.29/8,671.70 = 4,597.34/x
  3. Step 3: Cross multiply
    6,278.29x = 8,671.70 × 4,597.34
  4. Step 4: Simplify right side
    6,278.29x = 39,866,721.41
  5. Step 5: Solve for x
    x = 39,866,721.41/6,278.29
  6. Step 6: Final answer
    x = 6,349.94

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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.