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Finding the Fourth Proportional to 5,646.66, 8,471.40 and 2,358.06

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Solution

The fourth proportional to 5,646.66, 8,471.40 and 2,358.06 is: 3,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.66 : 8,471.40 = 2,358.06 : x
  2. Step 2: Convert to fraction form
    5,646.66/8,471.40 = 2,358.06/x
  3. Step 3: Cross multiply
    5,646.66x = 8,471.40 × 2,358.06
  4. Step 4: Simplify right side
    5,646.66x = 19,976,069.48
  5. Step 5: Solve for x
    x = 19,976,069.48/5,646.66
  6. Step 6: Final answer
    x = 3,537.68

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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.