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Finding the Fourth Proportional to 5,272.64, 7,908.06 and 1,762.16

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Solution

The fourth proportional to 5,272.64, 7,908.06 and 1,762.16 is: 2,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.64 : 7,908.06 = 1,762.16 : x
  2. Step 2: Convert to fraction form
    5,272.64/7,908.06 = 1,762.16/x
  3. Step 3: Cross multiply
    5,272.64x = 7,908.06 × 1,762.16
  4. Step 4: Simplify right side
    5,272.64x = 13,935,267.01
  5. Step 5: Solve for x
    x = 13,935,267.01/5,272.64
  6. Step 6: Final answer
    x = 2,642.94

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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.