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Finding the Fourth Proportional to 4,670.68, 6,445.86 and 2,681.80

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Solution

The fourth proportional to 4,670.68, 6,445.86 and 2,681.80 is: 3,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.68 : 6,445.86 = 2,681.80 : x
  2. Step 2: Convert to fraction form
    4,670.68/6,445.86 = 2,681.80/x
  3. Step 3: Cross multiply
    4,670.68x = 6,445.86 × 2,681.80
  4. Step 4: Simplify right side
    4,670.68x = 17,286,507.35
  5. Step 5: Solve for x
    x = 17,286,507.35/4,670.68
  6. Step 6: Final answer
    x = 3,701.07

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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.