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Finding the Fourth Proportional to 3,531.84, 4,871.52 and 2,598.72

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Solution

The fourth proportional to 3,531.84, 4,871.52 and 2,598.72 is: 3,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.84 : 4,871.52 = 2,598.72 : x
  2. Step 2: Convert to fraction form
    3,531.84/4,871.52 = 2,598.72/x
  3. Step 3: Cross multiply
    3,531.84x = 4,871.52 × 2,598.72
  4. Step 4: Simplify right side
    3,531.84x = 12,659,716.45
  5. Step 5: Solve for x
    x = 12,659,716.45/3,531.84
  6. Step 6: Final answer
    x = 3,584.45

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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.