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Finding the Fourth Proportional to 5,284.28, 7,285.20 and 4,535

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Solution

The fourth proportional to 5,284.28, 7,285.20 and 4,535 is: 6,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.28 : 7,285.20 = 4,535 : x
  2. Step 2: Convert to fraction form
    5,284.28/7,285.20 = 4,535/x
  3. Step 3: Cross multiply
    5,284.28x = 7,285.20 × 4,535
  4. Step 4: Simplify right side
    5,284.28x = 33,038,382
  5. Step 5: Solve for x
    x = 33,038,382/5,284.28
  6. Step 6: Final answer
    x = 6,252.20

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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.