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Finding the Fourth Proportional to 6,456.84, 8,910.08 and 3,585.40

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Solution

The fourth proportional to 6,456.84, 8,910.08 and 3,585.40 is: 4,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.84 : 8,910.08 = 3,585.40 : x
  2. Step 2: Convert to fraction form
    6,456.84/8,910.08 = 3,585.40/x
  3. Step 3: Cross multiply
    6,456.84x = 8,910.08 × 3,585.40
  4. Step 4: Simplify right side
    6,456.84x = 31,946,200.83
  5. Step 5: Solve for x
    x = 31,946,200.83/6,456.84
  6. Step 6: Final answer
    x = 4,947.65

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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.