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Finding the Fourth Proportional to 4,714.16, 6,503.67 and 2,724.35

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Solution

The fourth proportional to 4,714.16, 6,503.67 and 2,724.35 is: 3,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.16 : 6,503.67 = 2,724.35 : x
  2. Step 2: Convert to fraction form
    4,714.16/6,503.67 = 2,724.35/x
  3. Step 3: Cross multiply
    4,714.16x = 6,503.67 × 2,724.35
  4. Step 4: Simplify right side
    4,714.16x = 17,718,240.85
  5. Step 5: Solve for x
    x = 17,718,240.85/4,714.16
  6. Step 6: Final answer
    x = 3,758.52

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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.