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Finding the Fourth Proportional to 5,587.80, 7,710.42 and 3,463.80

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Solution

The fourth proportional to 5,587.80, 7,710.42 and 3,463.80 is: 4,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.80 : 7,710.42 = 3,463.80 : x
  2. Step 2: Convert to fraction form
    5,587.80/7,710.42 = 3,463.80/x
  3. Step 3: Cross multiply
    5,587.80x = 7,710.42 × 3,463.80
  4. Step 4: Simplify right side
    5,587.80x = 26,707,352.80
  5. Step 5: Solve for x
    x = 26,707,352.80/5,587.80
  6. Step 6: Final answer
    x = 4,779.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.