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Finding the Fourth Proportional to 4,275.84, 5,882.16 and 3,488.16

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Solution

The fourth proportional to 4,275.84, 5,882.16 and 3,488.16 is: 4,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.84 : 5,882.16 = 3,488.16 : x
  2. Step 2: Convert to fraction form
    4,275.84/5,882.16 = 3,488.16/x
  3. Step 3: Cross multiply
    4,275.84x = 5,882.16 × 3,488.16
  4. Step 4: Simplify right side
    4,275.84x = 20,517,915.23
  5. Step 5: Solve for x
    x = 20,517,915.23/4,275.84
  6. Step 6: Final answer
    x = 4,798.57

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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.