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Finding the Fourth Proportional to 6,148.57, 8,474.91 and 4,356.65

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Solution

The fourth proportional to 6,148.57, 8,474.91 and 4,356.65 is: 6,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.57 : 8,474.91 = 4,356.65 : x
  2. Step 2: Convert to fraction form
    6,148.57/8,474.91 = 4,356.65/x
  3. Step 3: Cross multiply
    6,148.57x = 8,474.91 × 4,356.65
  4. Step 4: Simplify right side
    6,148.57x = 36,922,216.65
  5. Step 5: Solve for x
    x = 36,922,216.65/6,148.57
  6. Step 6: Final answer
    x = 6,005.01

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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.