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Finding the Fourth Proportional to 5,894.14, 8,124.12 and 5,055.80

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Solution

The fourth proportional to 5,894.14, 8,124.12 and 5,055.80 is: 6,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.14 : 8,124.12 = 5,055.80 : x
  2. Step 2: Convert to fraction form
    5,894.14/8,124.12 = 5,055.80/x
  3. Step 3: Cross multiply
    5,894.14x = 8,124.12 × 5,055.80
  4. Step 4: Simplify right side
    5,894.14x = 41,073,925.90
  5. Step 5: Solve for x
    x = 41,073,925.90/5,894.14
  6. Step 6: Final answer
    x = 6,968.60

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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.