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Finding the Fourth Proportional to 5,492.32, 8,225.04 and 4,562.08

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Solution

The fourth proportional to 5,492.32, 8,225.04 and 4,562.08 is: 6,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.32 : 8,225.04 = 4,562.08 : x
  2. Step 2: Convert to fraction form
    5,492.32/8,225.04 = 4,562.08/x
  3. Step 3: Cross multiply
    5,492.32x = 8,225.04 × 4,562.08
  4. Step 4: Simplify right side
    5,492.32x = 37,523,290.48
  5. Step 5: Solve for x
    x = 37,523,290.48/5,492.32
  6. Step 6: Final answer
    x = 6,831.96

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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.