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Finding the Fourth Proportional to 5,325.60, 7,978.80 and 4,346.40

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Solution

The fourth proportional to 5,325.60, 7,978.80 and 4,346.40 is: 6,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.60 : 7,978.80 = 4,346.40 : x
  2. Step 2: Convert to fraction form
    5,325.60/7,978.80 = 4,346.40/x
  3. Step 3: Cross multiply
    5,325.60x = 7,978.80 × 4,346.40
  4. Step 4: Simplify right side
    5,325.60x = 34,679,056.32
  5. Step 5: Solve for x
    x = 34,679,056.32/5,325.60
  6. Step 6: Final answer
    x = 6,511.77

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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.