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Finding the Fourth Proportional to 4,678.86, 6,457.56 and 3,558

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Solution

The fourth proportional to 4,678.86, 6,457.56 and 3,558 is: 4,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.86 : 6,457.56 = 3,558 : x
  2. Step 2: Convert to fraction form
    4,678.86/6,457.56 = 3,558/x
  3. Step 3: Cross multiply
    4,678.86x = 6,457.56 × 3,558
  4. Step 4: Simplify right side
    4,678.86x = 22,975,998.48
  5. Step 5: Solve for x
    x = 22,975,998.48/4,678.86
  6. Step 6: Final answer
    x = 4,910.60

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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.