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Finding the Fourth Proportional to 4,669.32, 6,983.04 and 4,152.60

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Solution

The fourth proportional to 4,669.32, 6,983.04 and 4,152.60 is: 6,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.32 : 6,983.04 = 4,152.60 : x
  2. Step 2: Convert to fraction form
    4,669.32/6,983.04 = 4,152.60/x
  3. Step 3: Cross multiply
    4,669.32x = 6,983.04 × 4,152.60
  4. Step 4: Simplify right side
    4,669.32x = 28,997,771.90
  5. Step 5: Solve for x
    x = 28,997,771.90/4,669.32
  6. Step 6: Final answer
    x = 6,210.28

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