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Finding the Fourth Proportional to 5,746.55, 8,594.64 and 5,326.20

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Solution

The fourth proportional to 5,746.55, 8,594.64 and 5,326.20 is: 7,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.55 : 8,594.64 = 5,326.20 : x
  2. Step 2: Convert to fraction form
    5,746.55/8,594.64 = 5,326.20/x
  3. Step 3: Cross multiply
    5,746.55x = 8,594.64 × 5,326.20
  4. Step 4: Simplify right side
    5,746.55x = 45,776,771.57
  5. Step 5: Solve for x
    x = 45,776,771.57/5,746.55
  6. Step 6: Final answer
    x = 7,965.96

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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.