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Finding the Fourth Proportional to 3,527.81, 4,869.64 and 2,407.94

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Solution

The fourth proportional to 3,527.81, 4,869.64 and 2,407.94 is: 3,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.81 : 4,869.64 = 2,407.94 : x
  2. Step 2: Convert to fraction form
    3,527.81/4,869.64 = 2,407.94/x
  3. Step 3: Cross multiply
    3,527.81x = 4,869.64 × 2,407.94
  4. Step 4: Simplify right side
    3,527.81x = 11,725,811.71
  5. Step 5: Solve for x
    x = 11,725,811.71/3,527.81
  6. Step 6: Final answer
    x = 3,323.82

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1.5x scale

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.