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Finding the Fourth Proportional to 5,706.84, 7,875.30 and 3,188.97

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Solution

The fourth proportional to 5,706.84, 7,875.30 and 3,188.97 is: 4,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.84 : 7,875.30 = 3,188.97 : x
  2. Step 2: Convert to fraction form
    5,706.84/7,875.30 = 3,188.97/x
  3. Step 3: Cross multiply
    5,706.84x = 7,875.30 × 3,188.97
  4. Step 4: Simplify right side
    5,706.84x = 25,114,095.44
  5. Step 5: Solve for x
    x = 25,114,095.44/5,706.84
  6. Step 6: Final answer
    x = 4,400.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.