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Finding the Fourth Proportional to 5,733.66, 7,913.72 and 3,495.63

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Solution

The fourth proportional to 5,733.66, 7,913.72 and 3,495.63 is: 4,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.66 : 7,913.72 = 3,495.63 : x
  2. Step 2: Convert to fraction form
    5,733.66/7,913.72 = 3,495.63/x
  3. Step 3: Cross multiply
    5,733.66x = 7,913.72 × 3,495.63
  4. Step 4: Simplify right side
    5,733.66x = 27,663,437.04
  5. Step 5: Solve for x
    x = 27,663,437.04/5,733.66
  6. Step 6: Final answer
    x = 4,824.74

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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.