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Finding the Fourth Proportional to 3,492.58, 5,237.56 and 1,411.92

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Solution

The fourth proportional to 3,492.58, 5,237.56 and 1,411.92 is: 2,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.58 : 5,237.56 = 1,411.92 : x
  2. Step 2: Convert to fraction form
    3,492.58/5,237.56 = 1,411.92/x
  3. Step 3: Cross multiply
    3,492.58x = 5,237.56 × 1,411.92
  4. Step 4: Simplify right side
    3,492.58x = 7,395,015.72
  5. Step 5: Solve for x
    x = 7,395,015.72/3,492.58
  6. Step 6: Final answer
    x = 2,117.35

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1.5x scale

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.