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Finding the Fourth Proportional to 6,308.40, 8,705.59 and 3,657.34

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Solution

The fourth proportional to 6,308.40, 8,705.59 and 3,657.34 is: 5,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.40 : 8,705.59 = 3,657.34 : x
  2. Step 2: Convert to fraction form
    6,308.40/8,705.59 = 3,657.34/x
  3. Step 3: Cross multiply
    6,308.40x = 8,705.59 × 3,657.34
  4. Step 4: Simplify right side
    6,308.40x = 31,839,302.53
  5. Step 5: Solve for x
    x = 31,839,302.53/6,308.40
  6. Step 6: Final answer
    x = 5,047.13

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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.