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Finding the Fourth Proportional to 5,886.90, 8,122.71 and 4,117.86

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Solution

The fourth proportional to 5,886.90, 8,122.71 and 4,117.86 is: 5,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.90 : 8,122.71 = 4,117.86 : x
  2. Step 2: Convert to fraction form
    5,886.90/8,122.71 = 4,117.86/x
  3. Step 3: Cross multiply
    5,886.90x = 8,122.71 × 4,117.86
  4. Step 4: Simplify right side
    5,886.90x = 33,448,182.60
  5. Step 5: Solve for x
    x = 33,448,182.60/5,886.90
  6. Step 6: Final answer
    x = 5,681.80

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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.