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Finding the Fourth Proportional to 3,432.76, 4,733.58 and 2,547.16

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Solution

The fourth proportional to 3,432.76, 4,733.58 and 2,547.16 is: 3,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.76 : 4,733.58 = 2,547.16 : x
  2. Step 2: Convert to fraction form
    3,432.76/4,733.58 = 2,547.16/x
  3. Step 3: Cross multiply
    3,432.76x = 4,733.58 × 2,547.16
  4. Step 4: Simplify right side
    3,432.76x = 12,057,185.63
  5. Step 5: Solve for x
    x = 12,057,185.63/3,432.76
  6. Step 6: Final answer
    x = 3,512.39

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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.