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Finding the Fourth Proportional to 3,915.96, 5,404.80 and 2,345.08

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Solution

The fourth proportional to 3,915.96, 5,404.80 and 2,345.08 is: 3,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.96 : 5,404.80 = 2,345.08 : x
  2. Step 2: Convert to fraction form
    3,915.96/5,404.80 = 2,345.08/x
  3. Step 3: Cross multiply
    3,915.96x = 5,404.80 × 2,345.08
  4. Step 4: Simplify right side
    3,915.96x = 12,674,688.38
  5. Step 5: Solve for x
    x = 12,674,688.38/3,915.96
  6. Step 6: Final answer
    x = 3,236.67

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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.