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Finding the Fourth Proportional to 4,259.84, 6,417.62 and 3,899.12

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Solution

The fourth proportional to 4,259.84, 6,417.62 and 3,899.12 is: 5,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.84 : 6,417.62 = 3,899.12 : x
  2. Step 2: Convert to fraction form
    4,259.84/6,417.62 = 3,899.12/x
  3. Step 3: Cross multiply
    4,259.84x = 6,417.62 × 3,899.12
  4. Step 4: Simplify right side
    4,259.84x = 25,023,070.49
  5. Step 5: Solve for x
    x = 25,023,070.49/4,259.84
  6. Step 6: Final answer
    x = 5,874.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.