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Finding the Fourth Proportional to 4,552.40, 6,830.20 and 4,392.40

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Solution

The fourth proportional to 4,552.40, 6,830.20 and 4,392.40 is: 6,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.40 : 6,830.20 = 4,392.40 : x
  2. Step 2: Convert to fraction form
    4,552.40/6,830.20 = 4,392.40/x
  3. Step 3: Cross multiply
    4,552.40x = 6,830.20 × 4,392.40
  4. Step 4: Simplify right side
    4,552.40x = 30,000,970.48
  5. Step 5: Solve for x
    x = 30,000,970.48/4,552.40
  6. Step 6: Final answer
    x = 6,590.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.