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Finding the Fourth Proportional to 4,457.58, 6,686.34 and 3,484.50

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Solution

The fourth proportional to 4,457.58, 6,686.34 and 3,484.50 is: 5,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.58 : 6,686.34 = 3,484.50 : x
  2. Step 2: Convert to fraction form
    4,457.58/6,686.34 = 3,484.50/x
  3. Step 3: Cross multiply
    4,457.58x = 6,686.34 × 3,484.50
  4. Step 4: Simplify right side
    4,457.58x = 23,298,551.73
  5. Step 5: Solve for x
    x = 23,298,551.73/4,457.58
  6. Step 6: Final answer
    x = 5,226.73

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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.