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Finding the Fourth Proportional to 6,274.50, 8,659.08 and 3,480

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Solution

The fourth proportional to 6,274.50, 8,659.08 and 3,480 is: 4,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.50 : 8,659.08 = 3,480 : x
  2. Step 2: Convert to fraction form
    6,274.50/8,659.08 = 3,480/x
  3. Step 3: Cross multiply
    6,274.50x = 8,659.08 × 3,480
  4. Step 4: Simplify right side
    6,274.50x = 30,133,598.40
  5. Step 5: Solve for x
    x = 30,133,598.40/6,274.50
  6. Step 6: Final answer
    x = 4,802.55

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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.