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Finding the Fourth Proportional to 5,202.41, 7,802.64 and 1,503.72

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Solution

The fourth proportional to 5,202.41, 7,802.64 and 1,503.72 is: 2,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.41 : 7,802.64 = 1,503.72 : x
  2. Step 2: Convert to fraction form
    5,202.41/7,802.64 = 1,503.72/x
  3. Step 3: Cross multiply
    5,202.41x = 7,802.64 × 1,503.72
  4. Step 4: Simplify right side
    5,202.41x = 11,732,985.82
  5. Step 5: Solve for x
    x = 11,732,985.82/5,202.41
  6. Step 6: Final answer
    x = 2,255.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.