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Finding the Fourth Proportional to 5,246.60, 7,358.20 and 5,246.60

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Solution

The fourth proportional to 5,246.60, 7,358.20 and 5,246.60 is: 7,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.60 : 7,358.20 = 5,246.60 : x
  2. Step 2: Convert to fraction form
    5,246.60/7,358.20 = 5,246.60/x
  3. Step 3: Cross multiply
    5,246.60x = 7,358.20 × 5,246.60
  4. Step 4: Simplify right side
    5,246.60x = 38,605,532.12
  5. Step 5: Solve for x
    x = 38,605,532.12/5,246.60
  6. Step 6: Final answer
    x = 7,358.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.