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Finding the Fourth Proportional to 6,102.03, 8,420.81 and 3,307.53

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Solution

The fourth proportional to 6,102.03, 8,420.81 and 3,307.53 is: 4,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.03 : 8,420.81 = 3,307.53 : x
  2. Step 2: Convert to fraction form
    6,102.03/8,420.81 = 3,307.53/x
  3. Step 3: Cross multiply
    6,102.03x = 8,420.81 × 3,307.53
  4. Step 4: Simplify right side
    6,102.03x = 27,852,081.70
  5. Step 5: Solve for x
    x = 27,852,081.70/6,102.03
  6. Step 6: Final answer
    x = 4,564.40

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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.