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Finding the Fourth Proportional to 4,117.58, 5,681.16 and 2,349.14

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Solution

The fourth proportional to 4,117.58, 5,681.16 and 2,349.14 is: 3,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.58 : 5,681.16 = 2,349.14 : x
  2. Step 2: Convert to fraction form
    4,117.58/5,681.16 = 2,349.14/x
  3. Step 3: Cross multiply
    4,117.58x = 5,681.16 × 2,349.14
  4. Step 4: Simplify right side
    4,117.58x = 13,345,854.41
  5. Step 5: Solve for x
    x = 13,345,854.41/4,117.58
  6. Step 6: Final answer
    x = 3,241.19

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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.