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Finding the Fourth Proportional to 4,702.90, 6,483.42 and 3,284.56

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Solution

The fourth proportional to 4,702.90, 6,483.42 and 3,284.56 is: 4,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.90 : 6,483.42 = 3,284.56 : x
  2. Step 2: Convert to fraction form
    4,702.90/6,483.42 = 3,284.56/x
  3. Step 3: Cross multiply
    4,702.90x = 6,483.42 × 3,284.56
  4. Step 4: Simplify right side
    4,702.90x = 21,295,182.00
  5. Step 5: Solve for x
    x = 21,295,182.00/4,702.90
  6. Step 6: Final answer
    x = 4,528.10

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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.