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Finding the Fourth Proportional to 5,300.60, 7,956.42 and 3,915.50

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Solution

The fourth proportional to 5,300.60, 7,956.42 and 3,915.50 is: 5,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.60 : 7,956.42 = 3,915.50 : x
  2. Step 2: Convert to fraction form
    5,300.60/7,956.42 = 3,915.50/x
  3. Step 3: Cross multiply
    5,300.60x = 7,956.42 × 3,915.50
  4. Step 4: Simplify right side
    5,300.60x = 31,153,362.51
  5. Step 5: Solve for x
    x = 31,153,362.51/5,300.60
  6. Step 6: Final answer
    x = 5,877.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.