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Finding the Fourth Proportional to 4,547.88, 6,271.92 and 2,867.40

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Solution

The fourth proportional to 4,547.88, 6,271.92 and 2,867.40 is: 3,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.88 : 6,271.92 = 2,867.40 : x
  2. Step 2: Convert to fraction form
    4,547.88/6,271.92 = 2,867.40/x
  3. Step 3: Cross multiply
    4,547.88x = 6,271.92 × 2,867.40
  4. Step 4: Simplify right side
    4,547.88x = 17,984,103.41
  5. Step 5: Solve for x
    x = 17,984,103.41/4,547.88
  6. Step 6: Final answer
    x = 3,954.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.