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Finding the Fourth Proportional to 5,610, 8,411.76 and 2,490

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Solution

The fourth proportional to 5,610, 8,411.76 and 2,490 is: 3,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610 : 8,411.76 = 2,490 : x
  2. Step 2: Convert to fraction form
    5,610/8,411.76 = 2,490/x
  3. Step 3: Cross multiply
    5,610x = 8,411.76 × 2,490
  4. Step 4: Simplify right side
    5,610x = 20,945,282.40
  5. Step 5: Solve for x
    x = 20,945,282.40/5,610
  6. Step 6: Final answer
    x = 3,733.56

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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.