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Finding the Fourth Proportional to 4,570, 6,856.08 and 1,492

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Solution

The fourth proportional to 4,570, 6,856.08 and 1,492 is: 2,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 6,856.08 = 1,492 : x
  2. Step 2: Convert to fraction form
    4,570/6,856.08 = 1,492/x
  3. Step 3: Cross multiply
    4,570x = 6,856.08 × 1,492
  4. Step 4: Simplify right side
    4,570x = 10,229,271.36
  5. Step 5: Solve for x
    x = 10,229,271.36/4,570
  6. Step 6: Final answer
    x = 2,238.35

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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.