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Finding the Fourth Proportional to 5,779.83, 8,625.48 and 5,157

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Solution

The fourth proportional to 5,779.83, 8,625.48 and 5,157 is: 7,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.83 : 8,625.48 = 5,157 : x
  2. Step 2: Convert to fraction form
    5,779.83/8,625.48 = 5,157/x
  3. Step 3: Cross multiply
    5,779.83x = 8,625.48 × 5,157
  4. Step 4: Simplify right side
    5,779.83x = 44,481,581.02
  5. Step 5: Solve for x
    x = 44,481,581.02/5,779.83
  6. Step 6: Final answer
    x = 7,696.00

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Why These Related Problems?

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