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Finding the Fourth Proportional to 5,495.86, 7,583.10 and 3,258.46

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Solution

The fourth proportional to 5,495.86, 7,583.10 and 3,258.46 is: 4,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.86 : 7,583.10 = 3,258.46 : x
  2. Step 2: Convert to fraction form
    5,495.86/7,583.10 = 3,258.46/x
  3. Step 3: Cross multiply
    5,495.86x = 7,583.10 × 3,258.46
  4. Step 4: Simplify right side
    5,495.86x = 24,709,228.03
  5. Step 5: Solve for x
    x = 24,709,228.03/5,495.86
  6. Step 6: Final answer
    x = 4,495.97

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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.