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Finding the Fourth Proportional to 4,678.57, 7,017.93 and 1,558.53

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Solution

The fourth proportional to 4,678.57, 7,017.93 and 1,558.53 is: 2,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.57 : 7,017.93 = 1,558.53 : x
  2. Step 2: Convert to fraction form
    4,678.57/7,017.93 = 1,558.53/x
  3. Step 3: Cross multiply
    4,678.57x = 7,017.93 × 1,558.53
  4. Step 4: Simplify right side
    4,678.57x = 10,937,611.56
  5. Step 5: Solve for x
    x = 10,937,611.56/4,678.57
  6. Step 6: Final answer
    x = 2,337.81

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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.