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Finding the Fourth Proportional to 6,568.61, 9,058.77 and 4,210.29

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Solution

The fourth proportional to 6,568.61, 9,058.77 and 4,210.29 is: 5,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.61 : 9,058.77 = 4,210.29 : x
  2. Step 2: Convert to fraction form
    6,568.61/9,058.77 = 4,210.29/x
  3. Step 3: Cross multiply
    6,568.61x = 9,058.77 × 4,210.29
  4. Step 4: Simplify right side
    6,568.61x = 38,140,048.74
  5. Step 5: Solve for x
    x = 38,140,048.74/6,568.61
  6. Step 6: Final answer
    x = 5,806.42

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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.