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Finding the Fourth Proportional to 5,265.40, 7,898.10 and 1,802.65

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Solution

The fourth proportional to 5,265.40, 7,898.10 and 1,802.65 is: 2,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.40 : 7,898.10 = 1,802.65 : x
  2. Step 2: Convert to fraction form
    5,265.40/7,898.10 = 1,802.65/x
  3. Step 3: Cross multiply
    5,265.40x = 7,898.10 × 1,802.65
  4. Step 4: Simplify right side
    5,265.40x = 14,237,500.95
  5. Step 5: Solve for x
    x = 14,237,500.95/5,265.40
  6. Step 6: Final answer
    x = 2,703.97

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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.