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Finding the Fourth Proportional to 3,411.84, 4,708.80 and 2,530.16

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Solution

The fourth proportional to 3,411.84, 4,708.80 and 2,530.16 is: 3,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.84 : 4,708.80 = 2,530.16 : x
  2. Step 2: Convert to fraction form
    3,411.84/4,708.80 = 2,530.16/x
  3. Step 3: Cross multiply
    3,411.84x = 4,708.80 × 2,530.16
  4. Step 4: Simplify right side
    3,411.84x = 11,914,017.41
  5. Step 5: Solve for x
    x = 11,914,017.41/3,411.84
  6. Step 6: Final answer
    x = 3,491.96

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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.