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Finding the Fourth Proportional to 4,875.52, 7,314 and 1,412.32

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Solution

The fourth proportional to 4,875.52, 7,314 and 1,412.32 is: 2,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.52 : 7,314 = 1,412.32 : x
  2. Step 2: Convert to fraction form
    4,875.52/7,314 = 1,412.32/x
  3. Step 3: Cross multiply
    4,875.52x = 7,314 × 1,412.32
  4. Step 4: Simplify right side
    4,875.52x = 10,329,708.48
  5. Step 5: Solve for x
    x = 10,329,708.48/4,875.52
  6. Step 6: Final answer
    x = 2,118.69

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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.