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Finding the Fourth Proportional to 3,446.88, 4,756.76 and 1,875

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Solution

The fourth proportional to 3,446.88, 4,756.76 and 1,875 is: 2,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.88 : 4,756.76 = 1,875 : x
  2. Step 2: Convert to fraction form
    3,446.88/4,756.76 = 1,875/x
  3. Step 3: Cross multiply
    3,446.88x = 4,756.76 × 1,875
  4. Step 4: Simplify right side
    3,446.88x = 8,918,925
  5. Step 5: Solve for x
    x = 8,918,925/3,446.88
  6. Step 6: Final answer
    x = 2,587.54

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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.