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Finding the Fourth Proportional to 4,492.54, 6,741.89 and 1,570.85

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Solution

The fourth proportional to 4,492.54, 6,741.89 and 1,570.85 is: 2,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.54 : 6,741.89 = 1,570.85 : x
  2. Step 2: Convert to fraction form
    4,492.54/6,741.89 = 1,570.85/x
  3. Step 3: Cross multiply
    4,492.54x = 6,741.89 × 1,570.85
  4. Step 4: Simplify right side
    4,492.54x = 10,590,497.91
  5. Step 5: Solve for x
    x = 10,590,497.91/4,492.54
  6. Step 6: Final answer
    x = 2,357.35

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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.