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Finding the Fourth Proportional to 4,333.52, 6,499.54 and 1,559.62

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Solution

The fourth proportional to 4,333.52, 6,499.54 and 1,559.62 is: 2,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.52 : 6,499.54 = 1,559.62 : x
  2. Step 2: Convert to fraction form
    4,333.52/6,499.54 = 1,559.62/x
  3. Step 3: Cross multiply
    4,333.52x = 6,499.54 × 1,559.62
  4. Step 4: Simplify right side
    4,333.52x = 10,136,812.57
  5. Step 5: Solve for x
    x = 10,136,812.57/4,333.52
  6. Step 6: Final answer
    x = 2,339.16

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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.