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Finding the Fourth Proportional to 4,099.84, 5,655.96 and 2,527

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Solution

The fourth proportional to 4,099.84, 5,655.96 and 2,527 is: 3,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.84 : 5,655.96 = 2,527 : x
  2. Step 2: Convert to fraction form
    4,099.84/5,655.96 = 2,527/x
  3. Step 3: Cross multiply
    4,099.84x = 5,655.96 × 2,527
  4. Step 4: Simplify right side
    4,099.84x = 14,292,610.92
  5. Step 5: Solve for x
    x = 14,292,610.92/4,099.84
  6. Step 6: Final answer
    x = 3,486.14

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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.