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Finding the Fourth Proportional to 5,071.50, 7,606.08 and 1,950.48

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Solution

The fourth proportional to 5,071.50, 7,606.08 and 1,950.48 is: 2,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.50 : 7,606.08 = 1,950.48 : x
  2. Step 2: Convert to fraction form
    5,071.50/7,606.08 = 1,950.48/x
  3. Step 3: Cross multiply
    5,071.50x = 7,606.08 × 1,950.48
  4. Step 4: Simplify right side
    5,071.50x = 14,835,506.92
  5. Step 5: Solve for x
    x = 14,835,506.92/5,071.50
  6. Step 6: Final answer
    x = 2,925.27

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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.