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Finding the Fourth Proportional to 5,503.46, 8,255.76 and 1,607.84

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Solution

The fourth proportional to 5,503.46, 8,255.76 and 1,607.84 is: 2,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.46 : 8,255.76 = 1,607.84 : x
  2. Step 2: Convert to fraction form
    5,503.46/8,255.76 = 1,607.84/x
  3. Step 3: Cross multiply
    5,503.46x = 8,255.76 × 1,607.84
  4. Step 4: Simplify right side
    5,503.46x = 13,273,941.16
  5. Step 5: Solve for x
    x = 13,273,941.16/5,503.46
  6. Step 6: Final answer
    x = 2,411.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.