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Finding the Fourth Proportional to 5,264.34, 7,897.44 and 1,800.78

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Solution

The fourth proportional to 5,264.34, 7,897.44 and 1,800.78 is: 2,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.34 : 7,897.44 = 1,800.78 : x
  2. Step 2: Convert to fraction form
    5,264.34/7,897.44 = 1,800.78/x
  3. Step 3: Cross multiply
    5,264.34x = 7,897.44 × 1,800.78
  4. Step 4: Simplify right side
    5,264.34x = 14,221,552.00
  5. Step 5: Solve for x
    x = 14,221,552.00/5,264.34
  6. Step 6: Final answer
    x = 2,701.49

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1.5x scale

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.