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Finding the Fourth Proportional to 5,901.60, 8,830.80 and 5,383.20

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Solution

The fourth proportional to 5,901.60, 8,830.80 and 5,383.20 is: 8,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.60 : 8,830.80 = 5,383.20 : x
  2. Step 2: Convert to fraction form
    5,901.60/8,830.80 = 5,383.20/x
  3. Step 3: Cross multiply
    5,901.60x = 8,830.80 × 5,383.20
  4. Step 4: Simplify right side
    5,901.60x = 47,537,962.56
  5. Step 5: Solve for x
    x = 47,537,962.56/5,901.60
  6. Step 6: Final answer
    x = 8,055.10

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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.