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Finding the Fourth Proportional to 5,814.64, 8,024.70 and 3,458.08

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Solution

The fourth proportional to 5,814.64, 8,024.70 and 3,458.08 is: 4,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.64 : 8,024.70 = 3,458.08 : x
  2. Step 2: Convert to fraction form
    5,814.64/8,024.70 = 3,458.08/x
  3. Step 3: Cross multiply
    5,814.64x = 8,024.70 × 3,458.08
  4. Step 4: Simplify right side
    5,814.64x = 27,750,054.58
  5. Step 5: Solve for x
    x = 27,750,054.58/5,814.64
  6. Step 6: Final answer
    x = 4,772.45

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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.