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Finding the Fourth Proportional to 5,646.96, 8,466.93 and 2,356.02

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Solution

The fourth proportional to 5,646.96, 8,466.93 and 2,356.02 is: 3,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.96 : 8,466.93 = 2,356.02 : x
  2. Step 2: Convert to fraction form
    5,646.96/8,466.93 = 2,356.02/x
  3. Step 3: Cross multiply
    5,646.96x = 8,466.93 × 2,356.02
  4. Step 4: Simplify right side
    5,646.96x = 19,948,256.42
  5. Step 5: Solve for x
    x = 19,948,256.42/5,646.96
  6. Step 6: Final answer
    x = 3,532.57

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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.