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Finding the Fourth Proportional to 4,585.44, 6,883.80 and 4,564.40

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Solution

The fourth proportional to 4,585.44, 6,883.80 and 4,564.40 is: 6,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.44 : 6,883.80 = 4,564.40 : x
  2. Step 2: Convert to fraction form
    4,585.44/6,883.80 = 4,564.40/x
  3. Step 3: Cross multiply
    4,585.44x = 6,883.80 × 4,564.40
  4. Step 4: Simplify right side
    4,585.44x = 31,420,416.72
  5. Step 5: Solve for x
    x = 31,420,416.72/4,585.44
  6. Step 6: Final answer
    x = 6,852.21

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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.