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Finding the Fourth Proportional to 5,646.53, 8,466.73 and 4,484.00

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Solution

The fourth proportional to 5,646.53, 8,466.73 and 4,484.00 is: 6,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.53 : 8,466.73 = 4,484.00 : x
  2. Step 2: Convert to fraction form
    5,646.53/8,466.73 = 4,484.00/x
  3. Step 3: Cross multiply
    5,646.53x = 8,466.73 × 4,484.00
  4. Step 4: Simplify right side
    5,646.53x = 37,964,827.28
  5. Step 5: Solve for x
    x = 37,964,827.28/5,646.53
  6. Step 6: Final answer
    x = 6,723.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.