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Finding the Fourth Proportional to 3,534.84, 4,878.54 and 2,416.92

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Solution

The fourth proportional to 3,534.84, 4,878.54 and 2,416.92 is: 3,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.84 : 4,878.54 = 2,416.92 : x
  2. Step 2: Convert to fraction form
    3,534.84/4,878.54 = 2,416.92/x
  3. Step 3: Cross multiply
    3,534.84x = 4,878.54 × 2,416.92
  4. Step 4: Simplify right side
    3,534.84x = 11,791,040.90
  5. Step 5: Solve for x
    x = 11,791,040.90/3,534.84
  6. Step 6: Final answer
    x = 3,335.66

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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.