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Finding the Fourth Proportional to 5,652.94, 8,478.36 and 2,365.16

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Solution

The fourth proportional to 5,652.94, 8,478.36 and 2,365.16 is: 3,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.94 : 8,478.36 = 2,365.16 : x
  2. Step 2: Convert to fraction form
    5,652.94/8,478.36 = 2,365.16/x
  3. Step 3: Cross multiply
    5,652.94x = 8,478.36 × 2,365.16
  4. Step 4: Simplify right side
    5,652.94x = 20,052,677.94
  5. Step 5: Solve for x
    x = 20,052,677.94/5,652.94
  6. Step 6: Final answer
    x = 3,547.30

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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.