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Finding the Fourth Proportional to 4,968.95, 7,452.54 and 1,458.89

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Solution

The fourth proportional to 4,968.95, 7,452.54 and 1,458.89 is: 2,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.95 : 7,452.54 = 1,458.89 : x
  2. Step 2: Convert to fraction form
    4,968.95/7,452.54 = 1,458.89/x
  3. Step 3: Cross multiply
    4,968.95x = 7,452.54 × 1,458.89
  4. Step 4: Simplify right side
    4,968.95x = 10,872,460.18
  5. Step 5: Solve for x
    x = 10,872,460.18/4,968.95
  6. Step 6: Final answer
    x = 2,188.08

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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.