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Finding the Fourth Proportional to 6,113.50, 8,436.64 and 3,319

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Solution

The fourth proportional to 6,113.50, 8,436.64 and 3,319 is: 4,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.50 : 8,436.64 = 3,319 : x
  2. Step 2: Convert to fraction form
    6,113.50/8,436.64 = 3,319/x
  3. Step 3: Cross multiply
    6,113.50x = 8,436.64 × 3,319
  4. Step 4: Simplify right side
    6,113.50x = 28,001,208.16
  5. Step 5: Solve for x
    x = 28,001,208.16/6,113.50
  6. Step 6: Final answer
    x = 4,580.23

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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.