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Finding the Fourth Proportional to 4,831.14, 7,246.23 and 1,543.65

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Solution

The fourth proportional to 4,831.14, 7,246.23 and 1,543.65 is: 2,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.14 : 7,246.23 = 1,543.65 : x
  2. Step 2: Convert to fraction form
    4,831.14/7,246.23 = 1,543.65/x
  3. Step 3: Cross multiply
    4,831.14x = 7,246.23 × 1,543.65
  4. Step 4: Simplify right side
    4,831.14x = 11,185,642.94
  5. Step 5: Solve for x
    x = 11,185,642.94/4,831.14
  6. Step 6: Final answer
    x = 2,315.32

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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.