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Finding the Fourth Proportional to 3,468.86, 4,787.02 and 1,875.50

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Solution

The fourth proportional to 3,468.86, 4,787.02 and 1,875.50 is: 2,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.86 : 4,787.02 = 1,875.50 : x
  2. Step 2: Convert to fraction form
    3,468.86/4,787.02 = 1,875.50/x
  3. Step 3: Cross multiply
    3,468.86x = 4,787.02 × 1,875.50
  4. Step 4: Simplify right side
    3,468.86x = 8,978,056.01
  5. Step 5: Solve for x
    x = 8,978,056.01/3,468.86
  6. Step 6: Final answer
    x = 2,588.19

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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.