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Finding the Fourth Proportional to 5,283.52, 7,925.28 and 1,820.50

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Solution

The fourth proportional to 5,283.52, 7,925.28 and 1,820.50 is: 2,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.52 : 7,925.28 = 1,820.50 : x
  2. Step 2: Convert to fraction form
    5,283.52/7,925.28 = 1,820.50/x
  3. Step 3: Cross multiply
    5,283.52x = 7,925.28 × 1,820.50
  4. Step 4: Simplify right side
    5,283.52x = 14,427,972.24
  5. Step 5: Solve for x
    x = 14,427,972.24/5,283.52
  6. Step 6: Final answer
    x = 2,730.75

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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.