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Finding the Fourth Proportional to 4,353.16, 6,529.76 and 1,066.26

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Solution

The fourth proportional to 4,353.16, 6,529.76 and 1,066.26 is: 1,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.16 : 6,529.76 = 1,066.26 : x
  2. Step 2: Convert to fraction form
    4,353.16/6,529.76 = 1,066.26/x
  3. Step 3: Cross multiply
    4,353.16x = 6,529.76 × 1,066.26
  4. Step 4: Simplify right side
    4,353.16x = 6,962,451.05
  5. Step 5: Solve for x
    x = 6,962,451.05/4,353.16
  6. Step 6: Final answer
    x = 1,599.40

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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.