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Finding the Fourth Proportional to 5,813.96, 8,666.17 and 5,347.40

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Solution

The fourth proportional to 5,813.96, 8,666.17 and 5,347.40 is: 7,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.96 : 8,666.17 = 5,347.40 : x
  2. Step 2: Convert to fraction form
    5,813.96/8,666.17 = 5,347.40/x
  3. Step 3: Cross multiply
    5,813.96x = 8,666.17 × 5,347.40
  4. Step 4: Simplify right side
    5,813.96x = 46,341,477.46
  5. Step 5: Solve for x
    x = 46,341,477.46/5,813.96
  6. Step 6: Final answer
    x = 7,970.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.