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Finding the Fourth Proportional to 4,702.10, 7,051.72 and 1,414.32

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Solution

The fourth proportional to 4,702.10, 7,051.72 and 1,414.32 is: 2,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.10 : 7,051.72 = 1,414.32 : x
  2. Step 2: Convert to fraction form
    4,702.10/7,051.72 = 1,414.32/x
  3. Step 3: Cross multiply
    4,702.10x = 7,051.72 × 1,414.32
  4. Step 4: Simplify right side
    4,702.10x = 9,973,388.63
  5. Step 5: Solve for x
    x = 9,973,388.63/4,702.10
  6. Step 6: Final answer
    x = 2,121.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.