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Finding the Fourth Proportional to 4,368.60, 6,553.94 and 1,446.93

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Solution

The fourth proportional to 4,368.60, 6,553.94 and 1,446.93 is: 2,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.60 : 6,553.94 = 1,446.93 : x
  2. Step 2: Convert to fraction form
    4,368.60/6,553.94 = 1,446.93/x
  3. Step 3: Cross multiply
    4,368.60x = 6,553.94 × 1,446.93
  4. Step 4: Simplify right side
    4,368.60x = 9,483,085.17
  5. Step 5: Solve for x
    x = 9,483,085.17/4,368.60
  6. Step 6: Final answer
    x = 2,170.74

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Why These Related Problems?

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