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Finding the Fourth Proportional to 4,426, 6,108.96 and 2,564.08

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Solution

The fourth proportional to 4,426, 6,108.96 and 2,564.08 is: 3,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426 : 6,108.96 = 2,564.08 : x
  2. Step 2: Convert to fraction form
    4,426/6,108.96 = 2,564.08/x
  3. Step 3: Cross multiply
    4,426x = 6,108.96 × 2,564.08
  4. Step 4: Simplify right side
    4,426x = 15,663,862.16
  5. Step 5: Solve for x
    x = 15,663,862.16/4,426
  6. Step 6: Final answer
    x = 3,539.06

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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.