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Finding the Fourth Proportional to 6,214.48, 8,574.57 and 4,536.80

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Solution

The fourth proportional to 6,214.48, 8,574.57 and 4,536.80 is: 6,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.48 : 8,574.57 = 4,536.80 : x
  2. Step 2: Convert to fraction form
    6,214.48/8,574.57 = 4,536.80/x
  3. Step 3: Cross multiply
    6,214.48x = 8,574.57 × 4,536.80
  4. Step 4: Simplify right side
    6,214.48x = 38,901,109.18
  5. Step 5: Solve for x
    x = 38,901,109.18/6,214.48
  6. Step 6: Final answer
    x = 6,259.75

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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.