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Finding the Fourth Proportional to 3,763.55, 5,674.20 and 3,509.47

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Solution

The fourth proportional to 3,763.55, 5,674.20 and 3,509.47 is: 5,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.55 : 5,674.20 = 3,509.47 : x
  2. Step 2: Convert to fraction form
    3,763.55/5,674.20 = 3,509.47/x
  3. Step 3: Cross multiply
    3,763.55x = 5,674.20 × 3,509.47
  4. Step 4: Simplify right side
    3,763.55x = 19,913,400.77
  5. Step 5: Solve for x
    x = 19,913,400.77/3,763.55
  6. Step 6: Final answer
    x = 5,291.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.