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Finding the Fourth Proportional to 5,735.32, 7,915.06 and 4,316.46

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Solution

The fourth proportional to 5,735.32, 7,915.06 and 4,316.46 is: 5,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.32 : 7,915.06 = 4,316.46 : x
  2. Step 2: Convert to fraction form
    5,735.32/7,915.06 = 4,316.46/x
  3. Step 3: Cross multiply
    5,735.32x = 7,915.06 × 4,316.46
  4. Step 4: Simplify right side
    5,735.32x = 34,165,039.89
  5. Step 5: Solve for x
    x = 34,165,039.89/5,735.32
  6. Step 6: Final answer
    x = 5,956.95

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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.