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Finding the Fourth Proportional to 5,200.86, 7,802.64 and 1,503.38

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Solution

The fourth proportional to 5,200.86, 7,802.64 and 1,503.38 is: 2,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.86 : 7,802.64 = 1,503.38 : x
  2. Step 2: Convert to fraction form
    5,200.86/7,802.64 = 1,503.38/x
  3. Step 3: Cross multiply
    5,200.86x = 7,802.64 × 1,503.38
  4. Step 4: Simplify right side
    5,200.86x = 11,730,332.92
  5. Step 5: Solve for x
    x = 11,730,332.92/5,200.86
  6. Step 6: Final answer
    x = 2,255.46

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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.