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Finding the Fourth Proportional to 4,637.52, 6,955.02 and 1,714.20

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Solution

The fourth proportional to 4,637.52, 6,955.02 and 1,714.20 is: 2,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.52 : 6,955.02 = 1,714.20 : x
  2. Step 2: Convert to fraction form
    4,637.52/6,955.02 = 1,714.20/x
  3. Step 3: Cross multiply
    4,637.52x = 6,955.02 × 1,714.20
  4. Step 4: Simplify right side
    4,637.52x = 11,922,295.28
  5. Step 5: Solve for x
    x = 11,922,295.28/4,637.52
  6. Step 6: Final answer
    x = 2,570.83

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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.