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Finding the Fourth Proportional to 4,898.94, 7,341.93 and 2,298.30

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Solution

The fourth proportional to 4,898.94, 7,341.93 and 2,298.30 is: 3,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.94 : 7,341.93 = 2,298.30 : x
  2. Step 2: Convert to fraction form
    4,898.94/7,341.93 = 2,298.30/x
  3. Step 3: Cross multiply
    4,898.94x = 7,341.93 × 2,298.30
  4. Step 4: Simplify right side
    4,898.94x = 16,873,957.72
  5. Step 5: Solve for x
    x = 16,873,957.72/4,898.94
  6. Step 6: Final answer
    x = 3,444.41

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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.