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Finding the Fourth Proportional to 4,188.60, 5,780.04 and 2,509.02

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Solution

The fourth proportional to 4,188.60, 5,780.04 and 2,509.02 is: 3,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.60 : 5,780.04 = 2,509.02 : x
  2. Step 2: Convert to fraction form
    4,188.60/5,780.04 = 2,509.02/x
  3. Step 3: Cross multiply
    4,188.60x = 5,780.04 × 2,509.02
  4. Step 4: Simplify right side
    4,188.60x = 14,502,235.96
  5. Step 5: Solve for x
    x = 14,502,235.96/4,188.60
  6. Step 6: Final answer
    x = 3,462.31

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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.