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Finding the Fourth Proportional to 4,894.61, 7,343.91 and 1,774.96

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Solution

The fourth proportional to 4,894.61, 7,343.91 and 1,774.96 is: 2,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.61 : 7,343.91 = 1,774.96 : x
  2. Step 2: Convert to fraction form
    4,894.61/7,343.91 = 1,774.96/x
  3. Step 3: Cross multiply
    4,894.61x = 7,343.91 × 1,774.96
  4. Step 4: Simplify right side
    4,894.61x = 13,035,128.13
  5. Step 5: Solve for x
    x = 13,035,128.13/4,894.61
  6. Step 6: Final answer
    x = 2,663.16

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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.