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Finding the Fourth Proportional to 3,492.99, 4,815.18 and 2,312.01

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Solution

The fourth proportional to 3,492.99, 4,815.18 and 2,312.01 is: 3,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.99 : 4,815.18 = 2,312.01 : x
  2. Step 2: Convert to fraction form
    3,492.99/4,815.18 = 2,312.01/x
  3. Step 3: Cross multiply
    3,492.99x = 4,815.18 × 2,312.01
  4. Step 4: Simplify right side
    3,492.99x = 11,132,744.31
  5. Step 5: Solve for x
    x = 11,132,744.31/3,492.99
  6. Step 6: Final answer
    x = 3,187.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.