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Finding the Fourth Proportional to 3,527.95, 4,864.63 and 2,409.48

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Solution

The fourth proportional to 3,527.95, 4,864.63 and 2,409.48 is: 3,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.95 : 4,864.63 = 2,409.48 : x
  2. Step 2: Convert to fraction form
    3,527.95/4,864.63 = 2,409.48/x
  3. Step 3: Cross multiply
    3,527.95x = 4,864.63 × 2,409.48
  4. Step 4: Simplify right side
    3,527.95x = 11,721,228.69
  5. Step 5: Solve for x
    x = 11,721,228.69/3,527.95
  6. Step 6: Final answer
    x = 3,322.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.