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Finding the Fourth Proportional to 4,641.96, 6,407.10 and 3,152.37

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Solution

The fourth proportional to 4,641.96, 6,407.10 and 3,152.37 is: 4,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.96 : 6,407.10 = 3,152.37 : x
  2. Step 2: Convert to fraction form
    4,641.96/6,407.10 = 3,152.37/x
  3. Step 3: Cross multiply
    4,641.96x = 6,407.10 × 3,152.37
  4. Step 4: Simplify right side
    4,641.96x = 20,197,549.83
  5. Step 5: Solve for x
    x = 20,197,549.83/4,641.96
  6. Step 6: Final answer
    x = 4,351.08

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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.