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Finding the Fourth Proportional to 4,636.53, 6,955.38 and 1,714.86

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Solution

The fourth proportional to 4,636.53, 6,955.38 and 1,714.86 is: 2,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.53 : 6,955.38 = 1,714.86 : x
  2. Step 2: Convert to fraction form
    4,636.53/6,955.38 = 1,714.86/x
  3. Step 3: Cross multiply
    4,636.53x = 6,955.38 × 1,714.86
  4. Step 4: Simplify right side
    4,636.53x = 11,927,502.95
  5. Step 5: Solve for x
    x = 11,927,502.95/4,636.53
  6. Step 6: Final answer
    x = 2,572.51

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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.