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Finding the Fourth Proportional to 3,875.02, 5,804.48 and 1,894.68

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Solution

The fourth proportional to 3,875.02, 5,804.48 and 1,894.68 is: 2,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.02 : 5,804.48 = 1,894.68 : x
  2. Step 2: Convert to fraction form
    3,875.02/5,804.48 = 1,894.68/x
  3. Step 3: Cross multiply
    3,875.02x = 5,804.48 × 1,894.68
  4. Step 4: Simplify right side
    3,875.02x = 10,997,632.17
  5. Step 5: Solve for x
    x = 10,997,632.17/3,875.02
  6. Step 6: Final answer
    x = 2,838.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.