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Finding the Fourth Proportional to 6,568.35, 9,064.32 and 4,210.49

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Solution

The fourth proportional to 6,568.35, 9,064.32 and 4,210.49 is: 5,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.35 : 9,064.32 = 4,210.49 : x
  2. Step 2: Convert to fraction form
    6,568.35/9,064.32 = 4,210.49/x
  3. Step 3: Cross multiply
    6,568.35x = 9,064.32 × 4,210.49
  4. Step 4: Simplify right side
    6,568.35x = 38,165,235.59
  5. Step 5: Solve for x
    x = 38,165,235.59/6,568.35
  6. Step 6: Final answer
    x = 5,810.48

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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.