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Finding the Fourth Proportional to 4,152.42, 5,730.26 and 2,289.42

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Solution

The fourth proportional to 4,152.42, 5,730.26 and 2,289.42 is: 3,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.42 : 5,730.26 = 2,289.42 : x
  2. Step 2: Convert to fraction form
    4,152.42/5,730.26 = 2,289.42/x
  3. Step 3: Cross multiply
    4,152.42x = 5,730.26 × 2,289.42
  4. Step 4: Simplify right side
    4,152.42x = 13,118,960.40
  5. Step 5: Solve for x
    x = 13,118,960.40/4,152.42
  6. Step 6: Final answer
    x = 3,159.35

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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.