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Finding the Fourth Proportional to 5,607, 8,410.50 and 1,503

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Solution

The fourth proportional to 5,607, 8,410.50 and 1,503 is: 2,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607 : 8,410.50 = 1,503 : x
  2. Step 2: Convert to fraction form
    5,607/8,410.50 = 1,503/x
  3. Step 3: Cross multiply
    5,607x = 8,410.50 × 1,503
  4. Step 4: Simplify right side
    5,607x = 12,640,981.50
  5. Step 5: Solve for x
    x = 12,640,981.50/5,607
  6. Step 6: Final answer
    x = 2,254.50

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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.