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Finding the Fourth Proportional to 5,461.32, 7,528.99 and 4,618.64

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Solution

The fourth proportional to 5,461.32, 7,528.99 and 4,618.64 is: 6,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.32 : 7,528.99 = 4,618.64 : x
  2. Step 2: Convert to fraction form
    5,461.32/7,528.99 = 4,618.64/x
  3. Step 3: Cross multiply
    5,461.32x = 7,528.99 × 4,618.64
  4. Step 4: Simplify right side
    5,461.32x = 34,773,633.64
  5. Step 5: Solve for x
    x = 34,773,633.64/5,461.32
  6. Step 6: Final answer
    x = 6,367.26

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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.