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Finding the Fourth Proportional to 5,202.15, 7,802.06 and 1,503.55

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Solution

The fourth proportional to 5,202.15, 7,802.06 and 1,503.55 is: 2,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.15 : 7,802.06 = 1,503.55 : x
  2. Step 2: Convert to fraction form
    5,202.15/7,802.06 = 1,503.55/x
  3. Step 3: Cross multiply
    5,202.15x = 7,802.06 × 1,503.55
  4. Step 4: Simplify right side
    5,202.15x = 11,730,779.80
  5. Step 5: Solve for x
    x = 11,730,779.80/5,202.15
  6. Step 6: Final answer
    x = 2,254.99

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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.