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Finding the Fourth Proportional to 5,707.64, 7,877.58 and 3,317.94

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Solution

The fourth proportional to 5,707.64, 7,877.58 and 3,317.94 is: 4,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.64 : 7,877.58 = 3,317.94 : x
  2. Step 2: Convert to fraction form
    5,707.64/7,877.58 = 3,317.94/x
  3. Step 3: Cross multiply
    5,707.64x = 7,877.58 × 3,317.94
  4. Step 4: Simplify right side
    5,707.64x = 26,137,337.79
  5. Step 5: Solve for x
    x = 26,137,337.79/5,707.64
  6. Step 6: Final answer
    x = 4,579.36

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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.