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Finding the Fourth Proportional to 5,741.16, 8,590.68 and 4,698.60

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Solution

The fourth proportional to 5,741.16, 8,590.68 and 4,698.60 is: 7,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.16 : 8,590.68 = 4,698.60 : x
  2. Step 2: Convert to fraction form
    5,741.16/8,590.68 = 4,698.60/x
  3. Step 3: Cross multiply
    5,741.16x = 8,590.68 × 4,698.60
  4. Step 4: Simplify right side
    5,741.16x = 40,364,169.05
  5. Step 5: Solve for x
    x = 40,364,169.05/5,741.16
  6. Step 6: Final answer
    x = 7,030.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.