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Finding the Fourth Proportional to 5,973.64, 8,961.06 and 2,465.12

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Solution

The fourth proportional to 5,973.64, 8,961.06 and 2,465.12 is: 3,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.64 : 8,961.06 = 2,465.12 : x
  2. Step 2: Convert to fraction form
    5,973.64/8,961.06 = 2,465.12/x
  3. Step 3: Cross multiply
    5,973.64x = 8,961.06 × 2,465.12
  4. Step 4: Simplify right side
    5,973.64x = 22,090,088.23
  5. Step 5: Solve for x
    x = 22,090,088.23/5,973.64
  6. Step 6: Final answer
    x = 3,697.93

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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.