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Finding the Fourth Proportional to 5,492.74, 8,235.20 and 2,569.45

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Solution

The fourth proportional to 5,492.74, 8,235.20 and 2,569.45 is: 3,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.74 : 8,235.20 = 2,569.45 : x
  2. Step 2: Convert to fraction form
    5,492.74/8,235.20 = 2,569.45/x
  3. Step 3: Cross multiply
    5,492.74x = 8,235.20 × 2,569.45
  4. Step 4: Simplify right side
    5,492.74x = 21,159,934.64
  5. Step 5: Solve for x
    x = 21,159,934.64/5,492.74
  6. Step 6: Final answer
    x = 3,852.35

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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.