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Finding the Fourth Proportional to 5,952.64, 8,214.72 and 3,594.16

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Solution

The fourth proportional to 5,952.64, 8,214.72 and 3,594.16 is: 4,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.64 : 8,214.72 = 3,594.16 : x
  2. Step 2: Convert to fraction form
    5,952.64/8,214.72 = 3,594.16/x
  3. Step 3: Cross multiply
    5,952.64x = 8,214.72 × 3,594.16
  4. Step 4: Simplify right side
    5,952.64x = 29,525,018.04
  5. Step 5: Solve for x
    x = 29,525,018.04/5,952.64
  6. Step 6: Final answer
    x = 4,959.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.