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Finding the Fourth Proportional to 5,503.70, 7,594.40 and 3,146

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Solution

The fourth proportional to 5,503.70, 7,594.40 and 3,146 is: 4,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.70 : 7,594.40 = 3,146 : x
  2. Step 2: Convert to fraction form
    5,503.70/7,594.40 = 3,146/x
  3. Step 3: Cross multiply
    5,503.70x = 7,594.40 × 3,146
  4. Step 4: Simplify right side
    5,503.70x = 23,891,982.40
  5. Step 5: Solve for x
    x = 23,891,982.40/5,503.70
  6. Step 6: Final answer
    x = 4,341.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.