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Finding the Fourth Proportional to 5,646.36, 8,471.88 and 2,360.16

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Solution

The fourth proportional to 5,646.36, 8,471.88 and 2,360.16 is: 3,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.36 : 8,471.88 = 2,360.16 : x
  2. Step 2: Convert to fraction form
    5,646.36/8,471.88 = 2,360.16/x
  3. Step 3: Cross multiply
    5,646.36x = 8,471.88 × 2,360.16
  4. Step 4: Simplify right side
    5,646.36x = 19,994,992.30
  5. Step 5: Solve for x
    x = 19,994,992.30/5,646.36
  6. Step 6: Final answer
    x = 3,541.22

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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.