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Finding the Fourth Proportional to 5,652.54, 8,468.64 and 5,319.08

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Solution

The fourth proportional to 5,652.54, 8,468.64 and 5,319.08 is: 7,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.54 : 8,468.64 = 5,319.08 : x
  2. Step 2: Convert to fraction form
    5,652.54/8,468.64 = 5,319.08/x
  3. Step 3: Cross multiply
    5,652.54x = 8,468.64 × 5,319.08
  4. Step 4: Simplify right side
    5,652.54x = 45,045,373.65
  5. Step 5: Solve for x
    x = 45,045,373.65/5,652.54
  6. Step 6: Final answer
    x = 7,969.05

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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.