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Finding the Fourth Proportional to 4,152.62, 5,730.50 and 2,289.50

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Solution

The fourth proportional to 4,152.62, 5,730.50 and 2,289.50 is: 3,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.62 : 5,730.50 = 2,289.50 : x
  2. Step 2: Convert to fraction form
    4,152.62/5,730.50 = 2,289.50/x
  3. Step 3: Cross multiply
    4,152.62x = 5,730.50 × 2,289.50
  4. Step 4: Simplify right side
    4,152.62x = 13,119,979.75
  5. Step 5: Solve for x
    x = 13,119,979.75/4,152.62
  6. Step 6: Final answer
    x = 3,159.45

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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.