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Finding the Fourth Proportional to 6,210.86, 8,570.99 and 3,416.36

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Solution

The fourth proportional to 6,210.86, 8,570.99 and 3,416.36 is: 4,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.86 : 8,570.99 = 3,416.36 : x
  2. Step 2: Convert to fraction form
    6,210.86/8,570.99 = 3,416.36/x
  3. Step 3: Cross multiply
    6,210.86x = 8,570.99 × 3,416.36
  4. Step 4: Simplify right side
    6,210.86x = 29,281,553.08
  5. Step 5: Solve for x
    x = 29,281,553.08/6,210.86
  6. Step 6: Final answer
    x = 4,714.58

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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.