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Finding the Fourth Proportional to 3,645.51, 5,465.88 and 1,564.92

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Solution

The fourth proportional to 3,645.51, 5,465.88 and 1,564.92 is: 2,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.51 : 5,465.88 = 1,564.92 : x
  2. Step 2: Convert to fraction form
    3,645.51/5,465.88 = 1,564.92/x
  3. Step 3: Cross multiply
    3,645.51x = 5,465.88 × 1,564.92
  4. Step 4: Simplify right side
    3,645.51x = 8,553,664.93
  5. Step 5: Solve for x
    x = 8,553,664.93/3,645.51
  6. Step 6: Final answer
    x = 2,346.36

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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.