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Finding the Fourth Proportional to 4,669.86, 6,952.94 and 4,604.48

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Solution

The fourth proportional to 4,669.86, 6,952.94 and 4,604.48 is: 6,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.86 : 6,952.94 = 4,604.48 : x
  2. Step 2: Convert to fraction form
    4,669.86/6,952.94 = 4,604.48/x
  3. Step 3: Cross multiply
    4,669.86x = 6,952.94 × 4,604.48
  4. Step 4: Simplify right side
    4,669.86x = 32,014,638.41
  5. Step 5: Solve for x
    x = 32,014,638.41/4,669.86
  6. Step 6: Final answer
    x = 6,855.60

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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.