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Finding the Fourth Proportional to 6,206.25, 8,564.64 and 3,411.93

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Solution

The fourth proportional to 6,206.25, 8,564.64 and 3,411.93 is: 4,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.25 : 8,564.64 = 3,411.93 : x
  2. Step 2: Convert to fraction form
    6,206.25/8,564.64 = 3,411.93/x
  3. Step 3: Cross multiply
    6,206.25x = 8,564.64 × 3,411.93
  4. Step 4: Simplify right side
    6,206.25x = 29,221,952.16
  5. Step 5: Solve for x
    x = 29,221,952.16/6,206.25
  6. Step 6: Final answer
    x = 4,708.47

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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.