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Finding the Fourth Proportional to 5,886.32, 8,831.09 and 2,374.16

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Solution

The fourth proportional to 5,886.32, 8,831.09 and 2,374.16 is: 3,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.32 : 8,831.09 = 2,374.16 : x
  2. Step 2: Convert to fraction form
    5,886.32/8,831.09 = 2,374.16/x
  3. Step 3: Cross multiply
    5,886.32x = 8,831.09 × 2,374.16
  4. Step 4: Simplify right side
    5,886.32x = 20,966,382.41
  5. Step 5: Solve for x
    x = 20,966,382.41/5,886.32
  6. Step 6: Final answer
    x = 3,561.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.