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Finding the Fourth Proportional to 3,540.02, 5,307.06 and 1,565.33

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Solution

The fourth proportional to 3,540.02, 5,307.06 and 1,565.33 is: 2,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.02 : 5,307.06 = 1,565.33 : x
  2. Step 2: Convert to fraction form
    3,540.02/5,307.06 = 1,565.33/x
  3. Step 3: Cross multiply
    3,540.02x = 5,307.06 × 1,565.33
  4. Step 4: Simplify right side
    3,540.02x = 8,307,300.23
  5. Step 5: Solve for x
    x = 8,307,300.23/3,540.02
  6. Step 6: Final answer
    x = 2,346.68

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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.