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Finding the Fourth Proportional to 4,746.50, 7,119.54 and 1,459.45

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Solution

The fourth proportional to 4,746.50, 7,119.54 and 1,459.45 is: 2,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.50 : 7,119.54 = 1,459.45 : x
  2. Step 2: Convert to fraction form
    4,746.50/7,119.54 = 1,459.45/x
  3. Step 3: Cross multiply
    4,746.50x = 7,119.54 × 1,459.45
  4. Step 4: Simplify right side
    4,746.50x = 10,390,594.85
  5. Step 5: Solve for x
    x = 10,390,594.85/4,746.50
  6. Step 6: Final answer
    x = 2,189.11

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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.