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Finding the Fourth Proportional to 4,894.83, 7,343.00 and 1,607.18

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Solution

The fourth proportional to 4,894.83, 7,343.00 and 1,607.18 is: 2,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.83 : 7,343.00 = 1,607.18 : x
  2. Step 2: Convert to fraction form
    4,894.83/7,343.00 = 1,607.18/x
  3. Step 3: Cross multiply
    4,894.83x = 7,343.00 × 1,607.18
  4. Step 4: Simplify right side
    4,894.83x = 11,801,477.99
  5. Step 5: Solve for x
    x = 11,801,477.99/4,894.83
  6. Step 6: Final answer
    x = 2,411.01

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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.