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Finding the Fourth Proportional to 5,325, 7,348.50 and 3,117

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Solution

The fourth proportional to 5,325, 7,348.50 and 3,117 is: 4,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325 : 7,348.50 = 3,117 : x
  2. Step 2: Convert to fraction form
    5,325/7,348.50 = 3,117/x
  3. Step 3: Cross multiply
    5,325x = 7,348.50 × 3,117
  4. Step 4: Simplify right side
    5,325x = 22,905,274.50
  5. Step 5: Solve for x
    x = 22,905,274.50/5,325
  6. Step 6: Final answer
    x = 4,301.46

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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.