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Finding the Fourth Proportional to 4,486.46, 6,688.15 and 4,415.40

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Solution

The fourth proportional to 4,486.46, 6,688.15 and 4,415.40 is: 6,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.46 : 6,688.15 = 4,415.40 : x
  2. Step 2: Convert to fraction form
    4,486.46/6,688.15 = 4,415.40/x
  3. Step 3: Cross multiply
    4,486.46x = 6,688.15 × 4,415.40
  4. Step 4: Simplify right side
    4,486.46x = 29,530,846.47
  5. Step 5: Solve for x
    x = 29,530,846.47/4,486.46
  6. Step 6: Final answer
    x = 6,582.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.