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Finding the Fourth Proportional to 5,913.39, 8,829.48 and 5,214.57

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Solution

The fourth proportional to 5,913.39, 8,829.48 and 5,214.57 is: 7,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.39 : 8,829.48 = 5,214.57 : x
  2. Step 2: Convert to fraction form
    5,913.39/8,829.48 = 5,214.57/x
  3. Step 3: Cross multiply
    5,913.39x = 8,829.48 × 5,214.57
  4. Step 4: Simplify right side
    5,913.39x = 46,041,941.52
  5. Step 5: Solve for x
    x = 46,041,941.52/5,913.39
  6. Step 6: Final answer
    x = 7,786.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.