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Finding the Fourth Proportional to 3,547.63, 4,884.57 and 3,219.58

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Solution

The fourth proportional to 3,547.63, 4,884.57 and 3,219.58 is: 4,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.63 : 4,884.57 = 3,219.58 : x
  2. Step 2: Convert to fraction form
    3,547.63/4,884.57 = 3,219.58/x
  3. Step 3: Cross multiply
    3,547.63x = 4,884.57 × 3,219.58
  4. Step 4: Simplify right side
    3,547.63x = 15,726,263.88
  5. Step 5: Solve for x
    x = 15,726,263.88/3,547.63
  6. Step 6: Final answer
    x = 4,432.89

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1.5x scale

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.