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Finding the Fourth Proportional to 6,215.48, 8,577.60 and 3,421

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Solution

The fourth proportional to 6,215.48, 8,577.60 and 3,421 is: 4,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.48 : 8,577.60 = 3,421 : x
  2. Step 2: Convert to fraction form
    6,215.48/8,577.60 = 3,421/x
  3. Step 3: Cross multiply
    6,215.48x = 8,577.60 × 3,421
  4. Step 4: Simplify right side
    6,215.48x = 29,343,969.60
  5. Step 5: Solve for x
    x = 29,343,969.60/6,215.48
  6. Step 6: Final answer
    x = 4,721.11

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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.