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Finding the Fourth Proportional to 5,948.94, 8,210.36 and 4,530.63

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Solution

The fourth proportional to 5,948.94, 8,210.36 and 4,530.63 is: 6,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.94 : 8,210.36 = 4,530.63 : x
  2. Step 2: Convert to fraction form
    5,948.94/8,210.36 = 4,530.63/x
  3. Step 3: Cross multiply
    5,948.94x = 8,210.36 × 4,530.63
  4. Step 4: Simplify right side
    5,948.94x = 37,198,145.44
  5. Step 5: Solve for x
    x = 37,198,145.44/5,948.94
  6. Step 6: Final answer
    x = 6,252.90

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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.