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Finding the Fourth Proportional to 5,333.68, 8,005.20 and 4,461.40

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Solution

The fourth proportional to 5,333.68, 8,005.20 and 4,461.40 is: 6,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.68 : 8,005.20 = 4,461.40 : x
  2. Step 2: Convert to fraction form
    5,333.68/8,005.20 = 4,461.40/x
  3. Step 3: Cross multiply
    5,333.68x = 8,005.20 × 4,461.40
  4. Step 4: Simplify right side
    5,333.68x = 35,714,399.28
  5. Step 5: Solve for x
    x = 35,714,399.28/5,333.68
  6. Step 6: Final answer
    x = 6,696.01

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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.