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Finding the Fourth Proportional to 5,646.76, 8,458.62 and 2,905

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Solution

The fourth proportional to 5,646.76, 8,458.62 and 2,905 is: 4,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.76 : 8,458.62 = 2,905 : x
  2. Step 2: Convert to fraction form
    5,646.76/8,458.62 = 2,905/x
  3. Step 3: Cross multiply
    5,646.76x = 8,458.62 × 2,905
  4. Step 4: Simplify right side
    5,646.76x = 24,572,291.10
  5. Step 5: Solve for x
    x = 24,572,291.10/5,646.76
  6. Step 6: Final answer
    x = 4,351.57

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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.