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Finding the Fourth Proportional to 5,729.60, 8,594.40 and 5,307.20

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Solution

The fourth proportional to 5,729.60, 8,594.40 and 5,307.20 is: 7,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.60 : 8,594.40 = 5,307.20 : x
  2. Step 2: Convert to fraction form
    5,729.60/8,594.40 = 5,307.20/x
  3. Step 3: Cross multiply
    5,729.60x = 8,594.40 × 5,307.20
  4. Step 4: Simplify right side
    5,729.60x = 45,612,199.68
  5. Step 5: Solve for x
    x = 45,612,199.68/5,729.60
  6. Step 6: Final answer
    x = 7,960.80

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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.