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Finding the Fourth Proportional to 3,875.45, 5,349.24 and 2,459.16

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Solution

The fourth proportional to 3,875.45, 5,349.24 and 2,459.16 is: 3,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.45 : 5,349.24 = 2,459.16 : x
  2. Step 2: Convert to fraction form
    3,875.45/5,349.24 = 2,459.16/x
  3. Step 3: Cross multiply
    3,875.45x = 5,349.24 × 2,459.16
  4. Step 4: Simplify right side
    3,875.45x = 13,154,637.04
  5. Step 5: Solve for x
    x = 13,154,637.04/3,875.45
  6. Step 6: Final answer
    x = 3,394.36

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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.