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Finding the Fourth Proportional to 5,709.60, 7,864.58 and 4,028.04

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Solution

The fourth proportional to 5,709.60, 7,864.58 and 4,028.04 is: 5,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.60 : 7,864.58 = 4,028.04 : x
  2. Step 2: Convert to fraction form
    5,709.60/7,864.58 = 4,028.04/x
  3. Step 3: Cross multiply
    5,709.60x = 7,864.58 × 4,028.04
  4. Step 4: Simplify right side
    5,709.60x = 31,678,852.89
  5. Step 5: Solve for x
    x = 31,678,852.89/5,709.60
  6. Step 6: Final answer
    x = 5,548.35

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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.