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Finding the Fourth Proportional to 4,875.56, 7,312.52 and 1,412

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Solution

The fourth proportional to 4,875.56, 7,312.52 and 1,412 is: 2,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.56 : 7,312.52 = 1,412 : x
  2. Step 2: Convert to fraction form
    4,875.56/7,312.52 = 1,412/x
  3. Step 3: Cross multiply
    4,875.56x = 7,312.52 × 1,412
  4. Step 4: Simplify right side
    4,875.56x = 10,325,278.24
  5. Step 5: Solve for x
    x = 10,325,278.24/4,875.56
  6. Step 6: Final answer
    x = 2,117.76

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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.