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Finding the Fourth Proportional to 3,640.60, 5,460.36 and 1,302.40

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Solution

The fourth proportional to 3,640.60, 5,460.36 and 1,302.40 is: 1,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.60 : 5,460.36 = 1,302.40 : x
  2. Step 2: Convert to fraction form
    3,640.60/5,460.36 = 1,302.40/x
  3. Step 3: Cross multiply
    3,640.60x = 5,460.36 × 1,302.40
  4. Step 4: Simplify right side
    3,640.60x = 7,111,572.86
  5. Step 5: Solve for x
    x = 7,111,572.86/3,640.60
  6. Step 6: Final answer
    x = 1,953.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.