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Finding the Fourth Proportional to 5,783.76, 7,987.32 and 5,590.80

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Solution

The fourth proportional to 5,783.76, 7,987.32 and 5,590.80 is: 7,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.76 : 7,987.32 = 5,590.80 : x
  2. Step 2: Convert to fraction form
    5,783.76/7,987.32 = 5,590.80/x
  3. Step 3: Cross multiply
    5,783.76x = 7,987.32 × 5,590.80
  4. Step 4: Simplify right side
    5,783.76x = 44,655,508.66
  5. Step 5: Solve for x
    x = 44,655,508.66/5,783.76
  6. Step 6: Final answer
    x = 7,720.84

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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.