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Finding the Fourth Proportional to 5,732.56, 8,598.84 and 4,585.60

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Solution

The fourth proportional to 5,732.56, 8,598.84 and 4,585.60 is: 6,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.56 : 8,598.84 = 4,585.60 : x
  2. Step 2: Convert to fraction form
    5,732.56/8,598.84 = 4,585.60/x
  3. Step 3: Cross multiply
    5,732.56x = 8,598.84 × 4,585.60
  4. Step 4: Simplify right side
    5,732.56x = 39,430,840.70
  5. Step 5: Solve for x
    x = 39,430,840.70/5,732.56
  6. Step 6: Final answer
    x = 6,878.40

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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.