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Finding the Fourth Proportional to 4,703.94, 6,491.61 and 2,714.76

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Solution

The fourth proportional to 4,703.94, 6,491.61 and 2,714.76 is: 3,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.94 : 6,491.61 = 2,714.76 : x
  2. Step 2: Convert to fraction form
    4,703.94/6,491.61 = 2,714.76/x
  3. Step 3: Cross multiply
    4,703.94x = 6,491.61 × 2,714.76
  4. Step 4: Simplify right side
    4,703.94x = 17,623,163.16
  5. Step 5: Solve for x
    x = 17,623,163.16/4,703.94
  6. Step 6: Final answer
    x = 3,746.47

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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.