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Finding the Fourth Proportional to 5,847.02, 8,068.64 and 3,490.46

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Solution

The fourth proportional to 5,847.02, 8,068.64 and 3,490.46 is: 4,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.02 : 8,068.64 = 3,490.46 : x
  2. Step 2: Convert to fraction form
    5,847.02/8,068.64 = 3,490.46/x
  3. Step 3: Cross multiply
    5,847.02x = 8,068.64 × 3,490.46
  4. Step 4: Simplify right side
    5,847.02x = 28,163,265.17
  5. Step 5: Solve for x
    x = 28,163,265.17/5,847.02
  6. Step 6: Final answer
    x = 4,816.69

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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.