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Finding the Fourth Proportional to 5,507.76, 8,262.16 and 1,810

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Solution

The fourth proportional to 5,507.76, 8,262.16 and 1,810 is: 2,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.76 : 8,262.16 = 1,810 : x
  2. Step 2: Convert to fraction form
    5,507.76/8,262.16 = 1,810/x
  3. Step 3: Cross multiply
    5,507.76x = 8,262.16 × 1,810
  4. Step 4: Simplify right side
    5,507.76x = 14,954,509.60
  5. Step 5: Solve for x
    x = 14,954,509.60/5,507.76
  6. Step 6: Final answer
    x = 2,715.17

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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.