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Finding the Fourth Proportional to 5,892.16, 8,830.68 and 4,978.48

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Solution

The fourth proportional to 5,892.16, 8,830.68 and 4,978.48 is: 7,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.16 : 8,830.68 = 4,978.48 : x
  2. Step 2: Convert to fraction form
    5,892.16/8,830.68 = 4,978.48/x
  3. Step 3: Cross multiply
    5,892.16x = 8,830.68 × 4,978.48
  4. Step 4: Simplify right side
    5,892.16x = 43,963,363.77
  5. Step 5: Solve for x
    x = 43,963,363.77/5,892.16
  6. Step 6: Final answer
    x = 7,461.33

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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.