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Finding the Fourth Proportional to 4,641.57, 6,405.95 and 3,152.88

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Solution

The fourth proportional to 4,641.57, 6,405.95 and 3,152.88 is: 4,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.57 : 6,405.95 = 3,152.88 : x
  2. Step 2: Convert to fraction form
    4,641.57/6,405.95 = 3,152.88/x
  3. Step 3: Cross multiply
    4,641.57x = 6,405.95 × 3,152.88
  4. Step 4: Simplify right side
    4,641.57x = 20,197,199.52
  5. Step 5: Solve for x
    x = 20,197,199.52/4,641.57
  6. Step 6: Final answer
    x = 4,351.37

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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.