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Finding the Fourth Proportional to 5,526.16, 8,275.16 and 5,362

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Solution

The fourth proportional to 5,526.16, 8,275.16 and 5,362 is: 8,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526.16 : 8,275.16 = 5,362 : x
  2. Step 2: Convert to fraction form
    5,526.16/8,275.16 = 5,362/x
  3. Step 3: Cross multiply
    5,526.16x = 8,275.16 × 5,362
  4. Step 4: Simplify right side
    5,526.16x = 44,371,407.92
  5. Step 5: Solve for x
    x = 44,371,407.92/5,526.16
  6. Step 6: Final answer
    x = 8,029.34

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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.