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Finding the Fourth Proportional to 5,300.90, 7,946.48 and 1,835.72

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Solution

The fourth proportional to 5,300.90, 7,946.48 and 1,835.72 is: 2,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.90 : 7,946.48 = 1,835.72 : x
  2. Step 2: Convert to fraction form
    5,300.90/7,946.48 = 1,835.72/x
  3. Step 3: Cross multiply
    5,300.90x = 7,946.48 × 1,835.72
  4. Step 4: Simplify right side
    5,300.90x = 14,587,506.92
  5. Step 5: Solve for x
    x = 14,587,506.92/5,300.90
  6. Step 6: Final answer
    x = 2,751.89

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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.