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Finding the Fourth Proportional to 5,034.34, 7,548.98 and 1,746.55

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Solution

The fourth proportional to 5,034.34, 7,548.98 and 1,746.55 is: 2,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.34 : 7,548.98 = 1,746.55 : x
  2. Step 2: Convert to fraction form
    5,034.34/7,548.98 = 1,746.55/x
  3. Step 3: Cross multiply
    5,034.34x = 7,548.98 × 1,746.55
  4. Step 4: Simplify right side
    5,034.34x = 13,184,671.02
  5. Step 5: Solve for x
    x = 13,184,671.02/5,034.34
  6. Step 6: Final answer
    x = 2,618.95

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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.