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Finding the Fourth Proportional to 4,700.42, 6,486.56 and 2,710.97

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Solution

The fourth proportional to 4,700.42, 6,486.56 and 2,710.97 is: 3,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.42 : 6,486.56 = 2,710.97 : x
  2. Step 2: Convert to fraction form
    4,700.42/6,486.56 = 2,710.97/x
  3. Step 3: Cross multiply
    4,700.42x = 6,486.56 × 2,710.97
  4. Step 4: Simplify right side
    4,700.42x = 17,584,823.58
  5. Step 5: Solve for x
    x = 17,584,823.58/4,700.42
  6. Step 6: Final answer
    x = 3,741.12

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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.