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Finding the Fourth Proportional to 5,459.66, 7,533.98 and 3,221.63

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Solution

The fourth proportional to 5,459.66, 7,533.98 and 3,221.63 is: 4,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.66 : 7,533.98 = 3,221.63 : x
  2. Step 2: Convert to fraction form
    5,459.66/7,533.98 = 3,221.63/x
  3. Step 3: Cross multiply
    5,459.66x = 7,533.98 × 3,221.63
  4. Step 4: Simplify right side
    5,459.66x = 24,271,642.21
  5. Step 5: Solve for x
    x = 24,271,642.21/5,459.66
  6. Step 6: Final answer
    x = 4,445.64

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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.